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Finding the Fourth Proportional to 98,491.92, 147,784.03 and 48,544.78

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Solution

The fourth proportional to 98,491.92, 147,784.03 and 48,544.78 is: 72,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,491.92 : 147,784.03 = 48,544.78 : x
  2. Step 2: Convert to fraction form
    98,491.92/147,784.03 = 48,544.78/x
  3. Step 3: Cross multiply
    98,491.92x = 147,784.03 × 48,544.78
  4. Step 4: Simplify right side
    98,491.92x = 7,174,142,733.04
  5. Step 5: Solve for x
    x = 7,174,142,733.04/98,491.92
  6. Step 6: Final answer
    x = 72,839.91

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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.