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Finding the Fourth Proportional to 52,435, 78,665.46 and 15,499

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Solution

The fourth proportional to 52,435, 78,665.46 and 15,499 is: 23,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,435 : 78,665.46 = 15,499 : x
  2. Step 2: Convert to fraction form
    52,435/78,665.46 = 15,499/x
  3. Step 3: Cross multiply
    52,435x = 78,665.46 × 15,499
  4. Step 4: Simplify right side
    52,435x = 1,219,235,964.54
  5. Step 5: Solve for x
    x = 1,219,235,964.54/52,435
  6. Step 6: Final answer
    x = 23,252.33

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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.