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Finding the Fourth Proportional to 56,259.12, 77,634.54 and 31,107

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Solution

The fourth proportional to 56,259.12, 77,634.54 and 31,107 is: 42,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,259.12 : 77,634.54 = 31,107 : x
  2. Step 2: Convert to fraction form
    56,259.12/77,634.54 = 31,107/x
  3. Step 3: Cross multiply
    56,259.12x = 77,634.54 × 31,107
  4. Step 4: Simplify right side
    56,259.12x = 2,414,977,635.78
  5. Step 5: Solve for x
    x = 2,414,977,635.78/56,259.12
  6. Step 6: Final answer
    x = 42,925.98

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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.