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Finding the Fourth Proportional to 57,710.60, 86,565.90 and 16,157.60

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Solution

The fourth proportional to 57,710.60, 86,565.90 and 16,157.60 is: 24,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.60 : 86,565.90 = 16,157.60 : x
  2. Step 2: Convert to fraction form
    57,710.60/86,565.90 = 16,157.60/x
  3. Step 3: Cross multiply
    57,710.60x = 86,565.90 × 16,157.60
  4. Step 4: Simplify right side
    57,710.60x = 1,398,697,185.84
  5. Step 5: Solve for x
    x = 1,398,697,185.84/57,710.60
  6. Step 6: Final answer
    x = 24,236.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.