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Finding the Fourth Proportional to 27,059,324.40, 40,584,665.97 and 7,885,596.51

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Solution

The fourth proportional to 27,059,324.40, 40,584,665.97 and 7,885,596.51 is: 11,827,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059,324.40 : 40,584,665.97 = 7,885,596.51 : x
  2. Step 2: Convert to fraction form
    27,059,324.40/40,584,665.97 = 7,885,596.51/x
  3. Step 3: Cross multiply
    27,059,324.40x = 40,584,665.97 × 7,885,596.51
  4. Step 4: Simplify right side
    27,059,324.40x = 320,034,300,332,547.75
  5. Step 5: Solve for x
    x = 320,034,300,332,547.75/27,059,324.40
  6. Step 6: Final answer
    x = 11,827,135.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.