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Finding the Fourth Proportional to 96,498, 144,824.76 and 49,764.24

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Solution

The fourth proportional to 96,498, 144,824.76 and 49,764.24 is: 74,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498 : 144,824.76 = 49,764.24 : x
  2. Step 2: Convert to fraction form
    96,498/144,824.76 = 49,764.24/x
  3. Step 3: Cross multiply
    96,498x = 144,824.76 × 49,764.24
  4. Step 4: Simplify right side
    96,498x = 7,207,094,114.58
  5. Step 5: Solve for x
    x = 7,207,094,114.58/96,498
  6. Step 6: Final answer
    x = 74,686.46

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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.