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Finding the Fourth Proportional to 96,353.28, 144,534.24 and 42,314.40

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Solution

The fourth proportional to 96,353.28, 144,534.24 and 42,314.40 is: 63,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,353.28 : 144,534.24 = 42,314.40 : x
  2. Step 2: Convert to fraction form
    96,353.28/144,534.24 = 42,314.40/x
  3. Step 3: Cross multiply
    96,353.28x = 144,534.24 × 42,314.40
  4. Step 4: Simplify right side
    96,353.28x = 6,115,879,645.06
  5. Step 5: Solve for x
    x = 6,115,879,645.06/96,353.28
  6. Step 6: Final answer
    x = 63,473.50

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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.