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Finding the Fourth Proportional to 71,805.27, 107,547.53 and 52,038.44

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Solution

The fourth proportional to 71,805.27, 107,547.53 and 52,038.44 is: 77,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,805.27 : 107,547.53 = 52,038.44 : x
  2. Step 2: Convert to fraction form
    71,805.27/107,547.53 = 52,038.44/x
  3. Step 3: Cross multiply
    71,805.27x = 107,547.53 × 52,038.44
  4. Step 4: Simplify right side
    71,805.27x = 5,596,605,687.05
  5. Step 5: Solve for x
    x = 5,596,605,687.05/71,805.27
  6. Step 6: Final answer
    x = 77,941.43

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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.