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Finding the Fourth Proportional to 78,171.60, 107,877.24 and 42,361.64

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Solution

The fourth proportional to 78,171.60, 107,877.24 and 42,361.64 is: 58,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.60 : 107,877.24 = 42,361.64 : x
  2. Step 2: Convert to fraction form
    78,171.60/107,877.24 = 42,361.64/x
  3. Step 3: Cross multiply
    78,171.60x = 107,877.24 × 42,361.64
  4. Step 4: Simplify right side
    78,171.60x = 4,569,856,805.07
  5. Step 5: Solve for x
    x = 4,569,856,805.07/78,171.60
  6. Step 6: Final answer
    x = 58,459.30

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1.5x scale

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.