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Finding the Fourth Proportional to 20,047.53, 30,061.17 and 6,715.92

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Solution

The fourth proportional to 20,047.53, 30,061.17 and 6,715.92 is: 10,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.53 : 30,061.17 = 6,715.92 : x
  2. Step 2: Convert to fraction form
    20,047.53/30,061.17 = 6,715.92/x
  3. Step 3: Cross multiply
    20,047.53x = 30,061.17 × 6,715.92
  4. Step 4: Simplify right side
    20,047.53x = 201,888,412.83
  5. Step 5: Solve for x
    x = 201,888,412.83/20,047.53
  6. Step 6: Final answer
    x = 10,070.49

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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.