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Finding the Fourth Proportional to 52,353.84, 78,530.76 and 24,654

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Solution

The fourth proportional to 52,353.84, 78,530.76 and 24,654 is: 36,981

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,353.84 : 78,530.76 = 24,654 : x
  2. Step 2: Convert to fraction form
    52,353.84/78,530.76 = 24,654/x
  3. Step 3: Cross multiply
    52,353.84x = 78,530.76 × 24,654
  4. Step 4: Simplify right side
    52,353.84x = 1,936,097,357.04
  5. Step 5: Solve for x
    x = 1,936,097,357.04/52,353.84
  6. Step 6: Final answer
    x = 36,981

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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.