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Finding the Fourth Proportional to 96,652.32, 144,897.84 and 67,128

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Solution

The fourth proportional to 96,652.32, 144,897.84 and 67,128 is: 100,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,652.32 : 144,897.84 = 67,128 : x
  2. Step 2: Convert to fraction form
    96,652.32/144,897.84 = 67,128/x
  3. Step 3: Cross multiply
    96,652.32x = 144,897.84 × 67,128
  4. Step 4: Simplify right side
    96,652.32x = 9,726,702,203.52
  5. Step 5: Solve for x
    x = 9,726,702,203.52/96,652.32
  6. Step 6: Final answer
    x = 100,635.99

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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.