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Finding the Fourth Proportional to 57,678.80, 86,492.16 and 24,381.72

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Solution

The fourth proportional to 57,678.80, 86,492.16 and 24,381.72 is: 36,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678.80 : 86,492.16 = 24,381.72 : x
  2. Step 2: Convert to fraction form
    57,678.80/86,492.16 = 24,381.72/x
  3. Step 3: Cross multiply
    57,678.80x = 86,492.16 × 24,381.72
  4. Step 4: Simplify right side
    57,678.80x = 2,108,827,627.32
  5. Step 5: Solve for x
    x = 2,108,827,627.32/57,678.80
  6. Step 6: Final answer
    x = 36,561.58

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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.