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Finding the Fourth Proportional to 76,635.65, 114,954.12 and 26,715.65

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Solution

The fourth proportional to 76,635.65, 114,954.12 and 26,715.65 is: 40,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,635.65 : 114,954.12 = 26,715.65 : x
  2. Step 2: Convert to fraction form
    76,635.65/114,954.12 = 26,715.65/x
  3. Step 3: Cross multiply
    76,635.65x = 114,954.12 × 26,715.65
  4. Step 4: Simplify right side
    76,635.65x = 3,071,074,223.18
  5. Step 5: Solve for x
    x = 3,071,074,223.18/76,635.65
  6. Step 6: Final answer
    x = 40,073.70

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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.