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Finding the Fourth Proportional to 71,497.50, 107,176.52 and 34,047.56

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Solution

The fourth proportional to 71,497.50, 107,176.52 and 34,047.56 is: 51,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,497.50 : 107,176.52 = 34,047.56 : x
  2. Step 2: Convert to fraction form
    71,497.50/107,176.52 = 34,047.56/x
  3. Step 3: Cross multiply
    71,497.50x = 107,176.52 × 34,047.56
  4. Step 4: Simplify right side
    71,497.50x = 3,649,098,289.17
  5. Step 5: Solve for x
    x = 3,649,098,289.17/71,497.50
  6. Step 6: Final answer
    x = 51,038.12

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1.5x scale

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.