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Finding the Fourth Proportional to 57,924.96, 86,897.36 and 24,645.30

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Solution

The fourth proportional to 57,924.96, 86,897.36 and 24,645.30 is: 36,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924.96 : 86,897.36 = 24,645.30 : x
  2. Step 2: Convert to fraction form
    57,924.96/86,897.36 = 24,645.30/x
  3. Step 3: Cross multiply
    57,924.96x = 86,897.36 × 24,645.30
  4. Step 4: Simplify right side
    57,924.96x = 2,141,611,506.41
  5. Step 5: Solve for x
    x = 2,141,611,506.41/57,924.96
  6. Step 6: Final answer
    x = 36,972.17

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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.