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Finding the Fourth Proportional to 123,686.32, 185,537.20 and 34,946.64

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Solution

The fourth proportional to 123,686.32, 185,537.20 and 34,946.64 is: 52,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,686.32 : 185,537.20 = 34,946.64 : x
  2. Step 2: Convert to fraction form
    123,686.32/185,537.20 = 34,946.64/x
  3. Step 3: Cross multiply
    123,686.32x = 185,537.20 × 34,946.64
  4. Step 4: Simplify right side
    123,686.32x = 6,483,901,735.01
  5. Step 5: Solve for x
    x = 6,483,901,735.01/123,686.32
  6. Step 6: Final answer
    x = 52,422.14

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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.