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Finding the Fourth Proportional to 96,171.84, 144,258.84 and 29,611.44

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Solution

The fourth proportional to 96,171.84, 144,258.84 and 29,611.44 is: 44,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,171.84 : 144,258.84 = 29,611.44 : x
  2. Step 2: Convert to fraction form
    96,171.84/144,258.84 = 29,611.44/x
  3. Step 3: Cross multiply
    96,171.84x = 144,258.84 × 29,611.44
  4. Step 4: Simplify right side
    96,171.84x = 4,271,711,985.13
  5. Step 5: Solve for x
    x = 4,271,711,985.13/96,171.84
  6. Step 6: Final answer
    x = 44,417.49

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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.