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Finding the Fourth Proportional to 98,903.67, 148,378.84 and 32,343.54

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Solution

The fourth proportional to 98,903.67, 148,378.84 and 32,343.54 is: 48,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903.67 : 148,378.84 = 32,343.54 : x
  2. Step 2: Convert to fraction form
    98,903.67/148,378.84 = 32,343.54/x
  3. Step 3: Cross multiply
    98,903.67x = 148,378.84 × 32,343.54
  4. Step 4: Simplify right side
    98,903.67x = 4,799,096,946.69
  5. Step 5: Solve for x
    x = 4,799,096,946.69/98,903.67
  6. Step 6: Final answer
    x = 48,522.94

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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.