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Finding the Fourth Proportional to 52,877.40, 72,921.38 and 42,157.86

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Solution

The fourth proportional to 52,877.40, 72,921.38 and 42,157.86 is: 58,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,877.40 : 72,921.38 = 42,157.86 : x
  2. Step 2: Convert to fraction form
    52,877.40/72,921.38 = 42,157.86/x
  3. Step 3: Cross multiply
    52,877.40x = 72,921.38 × 42,157.86
  4. Step 4: Simplify right side
    52,877.40x = 3,074,209,118.26
  5. Step 5: Solve for x
    x = 3,074,209,118.26/52,877.40
  6. Step 6: Final answer
    x = 58,138.43

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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.