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Finding the Fourth Proportional to 57,700.84, 86,554.90 and 24,416.52

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Solution

The fourth proportional to 57,700.84, 86,554.90 and 24,416.52 is: 36,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,700.84 : 86,554.90 = 24,416.52 : x
  2. Step 2: Convert to fraction form
    57,700.84/86,554.90 = 24,416.52/x
  3. Step 3: Cross multiply
    57,700.84x = 86,554.90 × 24,416.52
  4. Step 4: Simplify right side
    57,700.84x = 2,113,369,446.95
  5. Step 5: Solve for x
    x = 2,113,369,446.95/57,700.84
  6. Step 6: Final answer
    x = 36,626.32

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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.