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Finding the Fourth Proportional to 70,718.89, 105,936.28 and 32,714.92

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Solution

The fourth proportional to 70,718.89, 105,936.28 and 32,714.92 is: 49,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,718.89 : 105,936.28 = 32,714.92 : x
  2. Step 2: Convert to fraction form
    70,718.89/105,936.28 = 32,714.92/x
  3. Step 3: Cross multiply
    70,718.89x = 105,936.28 × 32,714.92
  4. Step 4: Simplify right side
    70,718.89x = 3,465,696,925.30
  5. Step 5: Solve for x
    x = 3,465,696,925.30/70,718.89
  6. Step 6: Final answer
    x = 49,006.66

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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.