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Finding the Fourth Proportional to 109,098.84, 163,648.29 and 34,225.53

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Solution

The fourth proportional to 109,098.84, 163,648.29 and 34,225.53 is: 51,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,098.84 : 163,648.29 = 34,225.53 : x
  2. Step 2: Convert to fraction form
    109,098.84/163,648.29 = 34,225.53/x
  3. Step 3: Cross multiply
    109,098.84x = 163,648.29 × 34,225.53
  4. Step 4: Simplify right side
    109,098.84x = 5,600,949,458.84
  5. Step 5: Solve for x
    x = 5,600,949,458.84/109,098.84
  6. Step 6: Final answer
    x = 51,338.30

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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.