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Finding the Fourth Proportional to 127,241.76, 190,862.51 and 32,471.95

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Solution

The fourth proportional to 127,241.76, 190,862.51 and 32,471.95 is: 48,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,241.76 : 190,862.51 = 32,471.95 : x
  2. Step 2: Convert to fraction form
    127,241.76/190,862.51 = 32,471.95/x
  3. Step 3: Cross multiply
    127,241.76x = 190,862.51 × 32,471.95
  4. Step 4: Simplify right side
    127,241.76x = 6,197,676,927.28
  5. Step 5: Solve for x
    x = 6,197,676,927.28/127,241.76
  6. Step 6: Final answer
    x = 48,707.89

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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.