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Finding the Fourth Proportional to 98,649.76, 147,882.28 and 48,037.72

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Solution

The fourth proportional to 98,649.76, 147,882.28 and 48,037.72 is: 72,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,649.76 : 147,882.28 = 48,037.72 : x
  2. Step 2: Convert to fraction form
    98,649.76/147,882.28 = 48,037.72/x
  3. Step 3: Cross multiply
    98,649.76x = 147,882.28 × 48,037.72
  4. Step 4: Simplify right side
    98,649.76x = 7,103,927,559.60
  5. Step 5: Solve for x
    x = 7,103,927,559.60/98,649.76
  6. Step 6: Final answer
    x = 72,011.61

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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.