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Finding the Fourth Proportional to 64,414.32, 96,602.04 and 38,112

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Solution

The fourth proportional to 64,414.32, 96,602.04 and 38,112 is: 57,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414.32 : 96,602.04 = 38,112 : x
  2. Step 2: Convert to fraction form
    64,414.32/96,602.04 = 38,112/x
  3. Step 3: Cross multiply
    64,414.32x = 96,602.04 × 38,112
  4. Step 4: Simplify right side
    64,414.32x = 3,681,696,948.48
  5. Step 5: Solve for x
    x = 3,681,696,948.48/64,414.32
  6. Step 6: Final answer
    x = 57,156.50

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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.