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Finding the Fourth Proportional to 77,196.70, 115,793.70 and 24,605.74

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Solution

The fourth proportional to 77,196.70, 115,793.70 and 24,605.74 is: 36,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196.70 : 115,793.70 = 24,605.74 : x
  2. Step 2: Convert to fraction form
    77,196.70/115,793.70 = 24,605.74/x
  3. Step 3: Cross multiply
    77,196.70x = 115,793.70 × 24,605.74
  4. Step 4: Simplify right side
    77,196.70x = 2,849,189,675.84
  5. Step 5: Solve for x
    x = 2,849,189,675.84/77,196.70
  6. Step 6: Final answer
    x = 36,908.18

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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.