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Finding the Fourth Proportional to 41,602.86, 62,425.89 and 31,805.10

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Solution

The fourth proportional to 41,602.86, 62,425.89 and 31,805.10 is: 47,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602.86 : 62,425.89 = 31,805.10 : x
  2. Step 2: Convert to fraction form
    41,602.86/62,425.89 = 31,805.10/x
  3. Step 3: Cross multiply
    41,602.86x = 62,425.89 × 31,805.10
  4. Step 4: Simplify right side
    41,602.86x = 1,985,461,674.04
  5. Step 5: Solve for x
    x = 1,985,461,674.04/41,602.86
  6. Step 6: Final answer
    x = 47,724.16

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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.