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Finding the Fourth Proportional to 52,352.48, 78,541.68 and 24,644

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Solution

The fourth proportional to 52,352.48, 78,541.68 and 24,644 is: 36,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352.48 : 78,541.68 = 24,644 : x
  2. Step 2: Convert to fraction form
    52,352.48/78,541.68 = 24,644/x
  3. Step 3: Cross multiply
    52,352.48x = 78,541.68 × 24,644
  4. Step 4: Simplify right side
    52,352.48x = 1,935,581,161.92
  5. Step 5: Solve for x
    x = 1,935,581,161.92/52,352.48
  6. Step 6: Final answer
    x = 36,972.10

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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.