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Finding the Fourth Proportional to 58,565.61, 80,820.43 and 31,708.11

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Solution

The fourth proportional to 58,565.61, 80,820.43 and 31,708.11 is: 43,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,565.61 : 80,820.43 = 31,708.11 : x
  2. Step 2: Convert to fraction form
    58,565.61/80,820.43 = 31,708.11/x
  3. Step 3: Cross multiply
    58,565.61x = 80,820.43 × 31,708.11
  4. Step 4: Simplify right side
    58,565.61x = 2,562,663,308.49
  5. Step 5: Solve for x
    x = 2,562,663,308.49/58,565.61
  6. Step 6: Final answer
    x = 43,757.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.