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Finding the Fourth Proportional to 123,532.50, 185,282.37 and 34,792.98

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Solution

The fourth proportional to 123,532.50, 185,282.37 and 34,792.98 is: 52,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,532.50 : 185,282.37 = 34,792.98 : x
  2. Step 2: Convert to fraction form
    123,532.50/185,282.37 = 34,792.98/x
  3. Step 3: Cross multiply
    123,532.50x = 185,282.37 × 34,792.98
  4. Step 4: Simplify right side
    123,532.50x = 6,446,525,793.76
  5. Step 5: Solve for x
    x = 6,446,525,793.76/123,532.50
  6. Step 6: Final answer
    x = 52,184.86

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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.