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Finding the Fourth Proportional to 121,689.48, 182,534.58 and 37,449

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Solution

The fourth proportional to 121,689.48, 182,534.58 and 37,449 is: 56,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,689.48 : 182,534.58 = 37,449 : x
  2. Step 2: Convert to fraction form
    121,689.48/182,534.58 = 37,449/x
  3. Step 3: Cross multiply
    121,689.48x = 182,534.58 × 37,449
  4. Step 4: Simplify right side
    121,689.48x = 6,835,737,486.42
  5. Step 5: Solve for x
    x = 6,835,737,486.42/121,689.48
  6. Step 6: Final answer
    x = 56,173.61

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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.