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Finding the Fourth Proportional to 76,188.84, 114,356.98 and 36,773.70

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Solution

The fourth proportional to 76,188.84, 114,356.98 and 36,773.70 is: 55,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.84 : 114,356.98 = 36,773.70 : x
  2. Step 2: Convert to fraction form
    76,188.84/114,356.98 = 36,773.70/x
  3. Step 3: Cross multiply
    76,188.84x = 114,356.98 × 36,773.70
  4. Step 4: Simplify right side
    76,188.84x = 4,205,329,275.43
  5. Step 5: Solve for x
    x = 4,205,329,275.43/76,188.84
  6. Step 6: Final answer
    x = 55,196.13

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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.