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Finding the Fourth Proportional to 123,868.47, 185,809.77 and 35,115

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Solution

The fourth proportional to 123,868.47, 185,809.77 and 35,115 is: 52,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,868.47 : 185,809.77 = 35,115 : x
  2. Step 2: Convert to fraction form
    123,868.47/185,809.77 = 35,115/x
  3. Step 3: Cross multiply
    123,868.47x = 185,809.77 × 35,115
  4. Step 4: Simplify right side
    123,868.47x = 6,524,710,073.55
  5. Step 5: Solve for x
    x = 6,524,710,073.55/123,868.47
  6. Step 6: Final answer
    x = 52,674.50

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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.