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Finding the Fourth Proportional to 98,383.74, 147,603.96 and 48,478.84

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Solution

The fourth proportional to 98,383.74, 147,603.96 and 48,478.84 is: 72,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,383.74 : 147,603.96 = 48,478.84 : x
  2. Step 2: Convert to fraction form
    98,383.74/147,603.96 = 48,478.84/x
  3. Step 3: Cross multiply
    98,383.74x = 147,603.96 × 48,478.84
  4. Step 4: Simplify right side
    98,383.74x = 7,155,668,760.21
  5. Step 5: Solve for x
    x = 7,155,668,760.21/98,383.74
  6. Step 6: Final answer
    x = 72,732.23

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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.