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Finding the Fourth Proportional to 47,244, 70,869.24 and 15,654

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Solution

The fourth proportional to 47,244, 70,869.24 and 15,654 is: 23,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,244 : 70,869.24 = 15,654 : x
  2. Step 2: Convert to fraction form
    47,244/70,869.24 = 15,654/x
  3. Step 3: Cross multiply
    47,244x = 70,869.24 × 15,654
  4. Step 4: Simplify right side
    47,244x = 1,109,387,082.96
  5. Step 5: Solve for x
    x = 1,109,387,082.96/47,244
  6. Step 6: Final answer
    x = 23,482.07

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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.