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Finding the Fourth Proportional to 42,002.50, 63,004.02 and 10,838.02

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Solution

The fourth proportional to 42,002.50, 63,004.02 and 10,838.02 is: 16,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,002.50 : 63,004.02 = 10,838.02 : x
  2. Step 2: Convert to fraction form
    42,002.50/63,004.02 = 10,838.02/x
  3. Step 3: Cross multiply
    42,002.50x = 63,004.02 × 10,838.02
  4. Step 4: Simplify right side
    42,002.50x = 682,838,828.84
  5. Step 5: Solve for x
    x = 682,838,828.84/42,002.50
  6. Step 6: Final answer
    x = 16,257.10

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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.