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Finding the Fourth Proportional to 78,150.31, 107,847.53 and 42,340.32

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Solution

The fourth proportional to 78,150.31, 107,847.53 and 42,340.32 is: 58,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,150.31 : 107,847.53 = 42,340.32 : x
  2. Step 2: Convert to fraction form
    78,150.31/107,847.53 = 42,340.32/x
  3. Step 3: Cross multiply
    78,150.31x = 107,847.53 × 42,340.32
  4. Step 4: Simplify right side
    78,150.31x = 4,566,298,931.41
  5. Step 5: Solve for x
    x = 4,566,298,931.41/78,150.31
  6. Step 6: Final answer
    x = 58,429.70

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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.