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Finding the Fourth Proportional to 38,035.91, 52,471.88 and 24,611.50

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Solution

The fourth proportional to 38,035.91, 52,471.88 and 24,611.50 is: 33,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035.91 : 52,471.88 = 24,611.50 : x
  2. Step 2: Convert to fraction form
    38,035.91/52,471.88 = 24,611.50/x
  3. Step 3: Cross multiply
    38,035.91x = 52,471.88 × 24,611.50
  4. Step 4: Simplify right side
    38,035.91x = 1,291,411,420.38
  5. Step 5: Solve for x
    x = 1,291,411,420.38/38,035.91
  6. Step 6: Final answer
    x = 33,952.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.