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Finding the Fourth Proportional to 70,357.98, 105,575.92 and 26,013.82

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Solution

The fourth proportional to 70,357.98, 105,575.92 and 26,013.82 is: 39,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357.98 : 105,575.92 = 26,013.82 : x
  2. Step 2: Convert to fraction form
    70,357.98/105,575.92 = 26,013.82/x
  3. Step 3: Cross multiply
    70,357.98x = 105,575.92 × 26,013.82
  4. Step 4: Simplify right side
    70,357.98x = 2,746,432,849.15
  5. Step 5: Solve for x
    x = 2,746,432,849.15/70,357.98
  6. Step 6: Final answer
    x = 39,035.13

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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.