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Finding the Fourth Proportional to 123,411.64, 185,124.64 and 34,672.07

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Solution

The fourth proportional to 123,411.64, 185,124.64 and 34,672.07 is: 52,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411.64 : 185,124.64 = 34,672.07 : x
  2. Step 2: Convert to fraction form
    123,411.64/185,124.64 = 34,672.07/x
  3. Step 3: Cross multiply
    123,411.64x = 185,124.64 × 34,672.07
  4. Step 4: Simplify right side
    123,411.64x = 6,418,653,594.52
  5. Step 5: Solve for x
    x = 6,418,653,594.52/123,411.64
  6. Step 6: Final answer
    x = 52,010.11

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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.