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Finding the Fourth Proportional to 98,717.69, 148,076.43 and 32,157.71

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Solution

The fourth proportional to 98,717.69, 148,076.43 and 32,157.71 is: 48,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,717.69 : 148,076.43 = 32,157.71 : x
  2. Step 2: Convert to fraction form
    98,717.69/148,076.43 = 32,157.71/x
  3. Step 3: Cross multiply
    98,717.69x = 148,076.43 × 32,157.71
  4. Step 4: Simplify right side
    98,717.69x = 4,761,799,421.02
  5. Step 5: Solve for x
    x = 4,761,799,421.02/98,717.69
  6. Step 6: Final answer
    x = 48,236.53

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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.