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Finding the Fourth Proportional to 38,314.32, 57,452.04 and 17,520

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Solution

The fourth proportional to 38,314.32, 57,452.04 and 17,520 is: 26,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.32 : 57,452.04 = 17,520 : x
  2. Step 2: Convert to fraction form
    38,314.32/57,452.04 = 17,520/x
  3. Step 3: Cross multiply
    38,314.32x = 57,452.04 × 17,520
  4. Step 4: Simplify right side
    38,314.32x = 1,006,559,740.80
  5. Step 5: Solve for x
    x = 1,006,559,740.80/38,314.32
  6. Step 6: Final answer
    x = 26,271.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.