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Finding the Fourth Proportional to 98,517.33, 147,802.11 and 35,343.67

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Solution

The fourth proportional to 98,517.33, 147,802.11 and 35,343.67 is: 53,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,517.33 : 147,802.11 = 35,343.67 : x
  2. Step 2: Convert to fraction form
    98,517.33/147,802.11 = 35,343.67/x
  3. Step 3: Cross multiply
    98,517.33x = 147,802.11 × 35,343.67
  4. Step 4: Simplify right side
    98,517.33x = 5,223,869,001.14
  5. Step 5: Solve for x
    x = 5,223,869,001.14/98,517.33
  6. Step 6: Final answer
    x = 53,024.87

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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.