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Finding the Fourth Proportional to 123,600, 185,405.76 and 36,048

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Solution

The fourth proportional to 123,600, 185,405.76 and 36,048 is: 54,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,600 : 185,405.76 = 36,048 : x
  2. Step 2: Convert to fraction form
    123,600/185,405.76 = 36,048/x
  3. Step 3: Cross multiply
    123,600x = 185,405.76 × 36,048
  4. Step 4: Simplify right side
    123,600x = 6,683,506,836.48
  5. Step 5: Solve for x
    x = 6,683,506,836.48/123,600
  6. Step 6: Final answer
    x = 54,073.68

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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.