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Finding the Fourth Proportional to 76,242.76, 114,364.13 and 36,876.76

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Solution

The fourth proportional to 76,242.76, 114,364.13 and 36,876.76 is: 55,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,242.76 : 114,364.13 = 36,876.76 : x
  2. Step 2: Convert to fraction form
    76,242.76/114,364.13 = 36,876.76/x
  3. Step 3: Cross multiply
    76,242.76x = 114,364.13 × 36,876.76
  4. Step 4: Simplify right side
    76,242.76x = 4,217,378,574.62
  5. Step 5: Solve for x
    x = 4,217,378,574.62/76,242.76
  6. Step 6: Final answer
    x = 55,315.14

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1.5x scale

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.