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Finding the Fourth Proportional to 57,294, 79,065.72 and 32,142.96

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Solution

The fourth proportional to 57,294, 79,065.72 and 32,142.96 is: 44,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 79,065.72 = 32,142.96 : x
  2. Step 2: Convert to fraction form
    57,294/79,065.72 = 32,142.96/x
  3. Step 3: Cross multiply
    57,294x = 79,065.72 × 32,142.96
  4. Step 4: Simplify right side
    57,294x = 2,541,406,275.33
  5. Step 5: Solve for x
    x = 2,541,406,275.33/57,294
  6. Step 6: Final answer
    x = 44,357.28

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