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Finding the Fourth Proportional to 49,713.12, 74,547.72 and 26,334

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Solution

The fourth proportional to 49,713.12, 74,547.72 and 26,334 is: 39,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,713.12 : 74,547.72 = 26,334 : x
  2. Step 2: Convert to fraction form
    49,713.12/74,547.72 = 26,334/x
  3. Step 3: Cross multiply
    49,713.12x = 74,547.72 × 26,334
  4. Step 4: Simplify right side
    49,713.12x = 1,963,139,658.48
  5. Step 5: Solve for x
    x = 1,963,139,658.48/49,713.12
  6. Step 6: Final answer
    x = 39,489.37

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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.