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Finding the Fourth Proportional to 96,429, 144,568.52 and 36,456.50

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Solution

The fourth proportional to 96,429, 144,568.52 and 36,456.50 is: 54,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,429 : 144,568.52 = 36,456.50 : x
  2. Step 2: Convert to fraction form
    96,429/144,568.52 = 36,456.50/x
  3. Step 3: Cross multiply
    96,429x = 144,568.52 × 36,456.50
  4. Step 4: Simplify right side
    96,429x = 5,270,462,249.38
  5. Step 5: Solve for x
    x = 5,270,462,249.38/96,429
  6. Step 6: Final answer
    x = 54,656.40

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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.