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Finding the Fourth Proportional to 98,683.40, 148,046.70 and 32,112.20

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Solution

The fourth proportional to 98,683.40, 148,046.70 and 32,112.20 is: 48,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683.40 : 148,046.70 = 32,112.20 : x
  2. Step 2: Convert to fraction form
    98,683.40/148,046.70 = 32,112.20/x
  3. Step 3: Cross multiply
    98,683.40x = 148,046.70 × 32,112.20
  4. Step 4: Simplify right side
    98,683.40x = 4,754,105,239.74
  5. Step 5: Solve for x
    x = 4,754,105,239.74/98,683.40
  6. Step 6: Final answer
    x = 48,175.33

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1.5x scale

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.