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Finding the Fourth Proportional to 70,508.88, 105,732.19 and 33,038.69

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Solution

The fourth proportional to 70,508.88, 105,732.19 and 33,038.69 is: 49,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.88 : 105,732.19 = 33,038.69 : x
  2. Step 2: Convert to fraction form
    70,508.88/105,732.19 = 33,038.69/x
  3. Step 3: Cross multiply
    70,508.88x = 105,732.19 × 33,038.69
  4. Step 4: Simplify right side
    70,508.88x = 3,493,253,048.43
  5. Step 5: Solve for x
    x = 3,493,253,048.43/70,508.88
  6. Step 6: Final answer
    x = 49,543.45

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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.