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Finding the Fourth Proportional to 57,376, 79,186.31 and 32,225.50

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Solution

The fourth proportional to 57,376, 79,186.31 and 32,225.50 is: 44,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,376 : 79,186.31 = 32,225.50 : x
  2. Step 2: Convert to fraction form
    57,376/79,186.31 = 32,225.50/x
  3. Step 3: Cross multiply
    57,376x = 79,186.31 × 32,225.50
  4. Step 4: Simplify right side
    57,376x = 2,551,818,432.91
  5. Step 5: Solve for x
    x = 2,551,818,432.91/57,376
  6. Step 6: Final answer
    x = 44,475.36

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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.