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Finding the Fourth Proportional to 43,230, 64,864.52 and 24,762

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Solution

The fourth proportional to 43,230, 64,864.52 and 24,762 is: 37,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,230 : 64,864.52 = 24,762 : x
  2. Step 2: Convert to fraction form
    43,230/64,864.52 = 24,762/x
  3. Step 3: Cross multiply
    43,230x = 64,864.52 × 24,762
  4. Step 4: Simplify right side
    43,230x = 1,606,175,244.24
  5. Step 5: Solve for x
    x = 1,606,175,244.24/43,230
  6. Step 6: Final answer
    x = 37,154.18

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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.