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Finding the Fourth Proportional to 30,946.66, 42,725.01 and 29,175.46

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Solution

The fourth proportional to 30,946.66, 42,725.01 and 29,175.46 is: 40,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.66 : 42,725.01 = 29,175.46 : x
  2. Step 2: Convert to fraction form
    30,946.66/42,725.01 = 29,175.46/x
  3. Step 3: Cross multiply
    30,946.66x = 42,725.01 × 29,175.46
  4. Step 4: Simplify right side
    30,946.66x = 1,246,521,820.25
  5. Step 5: Solve for x
    x = 1,246,521,820.25/30,946.66
  6. Step 6: Final answer
    x = 40,279.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.