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Finding the Fourth Proportional to 98,732.90, 148,002.15 and 48,820.70

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Solution

The fourth proportional to 98,732.90, 148,002.15 and 48,820.70 is: 73,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.90 : 148,002.15 = 48,820.70 : x
  2. Step 2: Convert to fraction form
    98,732.90/148,002.15 = 48,820.70/x
  3. Step 3: Cross multiply
    98,732.90x = 148,002.15 × 48,820.70
  4. Step 4: Simplify right side
    98,732.90x = 7,225,568,564.51
  5. Step 5: Solve for x
    x = 7,225,568,564.51/98,732.90
  6. Step 6: Final answer
    x = 73,182.99

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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.