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Finding the Fourth Proportional to 127,032.68, 190,557.12 and 33,536

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Solution

The fourth proportional to 127,032.68, 190,557.12 and 33,536 is: 50,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,032.68 : 190,557.12 = 33,536 : x
  2. Step 2: Convert to fraction form
    127,032.68/190,557.12 = 33,536/x
  3. Step 3: Cross multiply
    127,032.68x = 190,557.12 × 33,536
  4. Step 4: Simplify right side
    127,032.68x = 6,390,523,576.32
  5. Step 5: Solve for x
    x = 6,390,523,576.32/127,032.68
  6. Step 6: Final answer
    x = 50,306.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.