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Finding the Fourth Proportional to 52,086.24, 78,123.16 and 13,615.20

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Solution

The fourth proportional to 52,086.24, 78,123.16 and 13,615.20 is: 20,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086.24 : 78,123.16 = 13,615.20 : x
  2. Step 2: Convert to fraction form
    52,086.24/78,123.16 = 13,615.20/x
  3. Step 3: Cross multiply
    52,086.24x = 78,123.16 × 13,615.20
  4. Step 4: Simplify right side
    52,086.24x = 1,063,662,448.03
  5. Step 5: Solve for x
    x = 1,063,662,448.03/52,086.24
  6. Step 6: Final answer
    x = 20,421.18

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