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Finding the Fourth Proportional to 38,320.92, 52,870.50 and 24,903

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Solution

The fourth proportional to 38,320.92, 52,870.50 and 24,903 is: 34,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320.92 : 52,870.50 = 24,903 : x
  2. Step 2: Convert to fraction form
    38,320.92/52,870.50 = 24,903/x
  3. Step 3: Cross multiply
    38,320.92x = 52,870.50 × 24,903
  4. Step 4: Simplify right side
    38,320.92x = 1,316,634,061.50
  5. Step 5: Solve for x
    x = 1,316,634,061.50/38,320.92
  6. Step 6: Final answer
    x = 34,358.10

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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.