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Finding the Fourth Proportional to 98,721.94, 148,082.80 and 32,161.96

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Solution

The fourth proportional to 98,721.94, 148,082.80 and 32,161.96 is: 48,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,721.94 : 148,082.80 = 32,161.96 : x
  2. Step 2: Convert to fraction form
    98,721.94/148,082.80 = 32,161.96/x
  3. Step 3: Cross multiply
    98,721.94x = 148,082.80 × 32,161.96
  4. Step 4: Simplify right side
    98,721.94x = 4,762,633,090.29
  5. Step 5: Solve for x
    x = 4,762,633,090.29/98,721.94
  6. Step 6: Final answer
    x = 48,242.90

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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.