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Finding the Fourth Proportional to 38,056, 57,084.18 and 13,432

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Solution

The fourth proportional to 38,056, 57,084.18 and 13,432 is: 20,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056 : 57,084.18 = 13,432 : x
  2. Step 2: Convert to fraction form
    38,056/57,084.18 = 13,432/x
  3. Step 3: Cross multiply
    38,056x = 57,084.18 × 13,432
  4. Step 4: Simplify right side
    38,056x = 766,754,705.76
  5. Step 5: Solve for x
    x = 766,754,705.76/38,056
  6. Step 6: Final answer
    x = 20,148.06

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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.