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Finding the Fourth Proportional to 67,298.90, 100,970.82 and 29,853.82

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Solution

The fourth proportional to 67,298.90, 100,970.82 and 29,853.82 is: 44,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298.90 : 100,970.82 = 29,853.82 : x
  2. Step 2: Convert to fraction form
    67,298.90/100,970.82 = 29,853.82/x
  3. Step 3: Cross multiply
    67,298.90x = 100,970.82 × 29,853.82
  4. Step 4: Simplify right side
    67,298.90x = 3,014,364,685.53
  5. Step 5: Solve for x
    x = 3,014,364,685.53/67,298.90
  6. Step 6: Final answer
    x = 44,790.70

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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.