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Finding the Fourth Proportional to 98,802.67, 148,219.49 and 32,227.43

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Solution

The fourth proportional to 98,802.67, 148,219.49 and 32,227.43 is: 48,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802.67 : 148,219.49 = 32,227.43 : x
  2. Step 2: Convert to fraction form
    98,802.67/148,219.49 = 32,227.43/x
  3. Step 3: Cross multiply
    98,802.67x = 148,219.49 × 32,227.43
  4. Step 4: Simplify right side
    98,802.67x = 4,776,732,497.51
  5. Step 5: Solve for x
    x = 4,776,732,497.51/98,802.67
  6. Step 6: Final answer
    x = 48,346.19

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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.