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Finding the Fourth Proportional to 125,302.95, 187,962.62 and 36,549

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Solution

The fourth proportional to 125,302.95, 187,962.62 and 36,549 is: 54,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,302.95 : 187,962.62 = 36,549 : x
  2. Step 2: Convert to fraction form
    125,302.95/187,962.62 = 36,549/x
  3. Step 3: Cross multiply
    125,302.95x = 187,962.62 × 36,549
  4. Step 4: Simplify right side
    125,302.95x = 6,869,845,615.64
  5. Step 5: Solve for x
    x = 6,869,845,615.64/125,302.95
  6. Step 6: Final answer
    x = 54,825.89

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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.