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Finding the Fourth Proportional to 56,430.76, 77,882.52 and 32,565.64

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Solution

The fourth proportional to 56,430.76, 77,882.52 and 32,565.64 is: 44,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,430.76 : 77,882.52 = 32,565.64 : x
  2. Step 2: Convert to fraction form
    56,430.76/77,882.52 = 32,565.64/x
  3. Step 3: Cross multiply
    56,430.76x = 77,882.52 × 32,565.64
  4. Step 4: Simplify right side
    56,430.76x = 2,536,294,108.61
  5. Step 5: Solve for x
    x = 2,536,294,108.61/56,430.76
  6. Step 6: Final answer
    x = 44,945.24

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