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Finding the Fourth Proportional to 96,562.40, 144,894.72 and 47,314.40

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Solution

The fourth proportional to 96,562.40, 144,894.72 and 47,314.40 is: 70,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,562.40 : 144,894.72 = 47,314.40 : x
  2. Step 2: Convert to fraction form
    96,562.40/144,894.72 = 47,314.40/x
  3. Step 3: Cross multiply
    96,562.40x = 144,894.72 × 47,314.40
  4. Step 4: Simplify right side
    96,562.40x = 6,855,606,739.97
  5. Step 5: Solve for x
    x = 6,855,606,739.97/96,562.40
  6. Step 6: Final answer
    x = 70,996.65

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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.