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Finding the Fourth Proportional to 99,752.52, 149,627.29 and 46,414.63

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Solution

The fourth proportional to 99,752.52, 149,627.29 and 46,414.63 is: 69,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,752.52 : 149,627.29 = 46,414.63 : x
  2. Step 2: Convert to fraction form
    99,752.52/149,627.29 = 46,414.63/x
  3. Step 3: Cross multiply
    99,752.52x = 149,627.29 × 46,414.63
  4. Step 4: Simplify right side
    99,752.52x = 6,944,894,555.12
  5. Step 5: Solve for x
    x = 6,944,894,555.12/99,752.52
  6. Step 6: Final answer
    x = 69,621.24

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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.