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Finding the Fourth Proportional to 57,634.50, 86,430.93 and 24,357.14

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Solution

The fourth proportional to 57,634.50, 86,430.93 and 24,357.14 is: 36,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,634.50 : 86,430.93 = 24,357.14 : x
  2. Step 2: Convert to fraction form
    57,634.50/86,430.93 = 24,357.14/x
  3. Step 3: Cross multiply
    57,634.50x = 86,430.93 × 24,357.14
  4. Step 4: Simplify right side
    57,634.50x = 2,105,209,830.19
  5. Step 5: Solve for x
    x = 2,105,209,830.19/57,634.50
  6. Step 6: Final answer
    x = 36,526.90

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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.