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Finding the Fourth Proportional to 51,547.71, 77,309.51 and 29,068.10

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Solution

The fourth proportional to 51,547.71, 77,309.51 and 29,068.10 is: 43,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,547.71 : 77,309.51 = 29,068.10 : x
  2. Step 2: Convert to fraction form
    51,547.71/77,309.51 = 29,068.10/x
  3. Step 3: Cross multiply
    51,547.71x = 77,309.51 × 29,068.10
  4. Step 4: Simplify right side
    51,547.71x = 2,247,240,035.74
  5. Step 5: Solve for x
    x = 2,247,240,035.74/51,547.71
  6. Step 6: Final answer
    x = 43,595.34

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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.