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Finding the Fourth Proportional to 162,002.48, 243,003.71 and 49,681.80

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Solution

The fourth proportional to 162,002.48, 243,003.71 and 49,681.80 is: 74,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.48 : 243,003.71 = 49,681.80 : x
  2. Step 2: Convert to fraction form
    162,002.48/243,003.71 = 49,681.80/x
  3. Step 3: Cross multiply
    162,002.48x = 243,003.71 × 49,681.80
  4. Step 4: Simplify right side
    162,002.48x = 12,072,861,843.68
  5. Step 5: Solve for x
    x = 12,072,861,843.68/162,002.48
  6. Step 6: Final answer
    x = 74,522.70

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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.