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Finding the Fourth Proportional to 84,002.50, 126,006.18 and 21,673

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Solution

The fourth proportional to 84,002.50, 126,006.18 and 21,673 is: 32,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.50 : 126,006.18 = 21,673 : x
  2. Step 2: Convert to fraction form
    84,002.50/126,006.18 = 21,673/x
  3. Step 3: Cross multiply
    84,002.50x = 126,006.18 × 21,673
  4. Step 4: Simplify right side
    84,002.50x = 2,730,931,939.14
  5. Step 5: Solve for x
    x = 2,730,931,939.14/84,002.50
  6. Step 6: Final answer
    x = 32,510.13

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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.