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Finding the Fourth Proportional to 54,732.32, 75,526.80 and 32,372

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Solution

The fourth proportional to 54,732.32, 75,526.80 and 32,372 is: 44,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732.32 : 75,526.80 = 32,372 : x
  2. Step 2: Convert to fraction form
    54,732.32/75,526.80 = 32,372/x
  3. Step 3: Cross multiply
    54,732.32x = 75,526.80 × 32,372
  4. Step 4: Simplify right side
    54,732.32x = 2,444,953,569.60
  5. Step 5: Solve for x
    x = 2,444,953,569.60/54,732.32
  6. Step 6: Final answer
    x = 44,671.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.