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Finding the Fourth Proportional to 76,357.74, 114,477.15 and 36,356.14

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Solution

The fourth proportional to 76,357.74, 114,477.15 and 36,356.14 is: 54,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.74 : 114,477.15 = 36,356.14 : x
  2. Step 2: Convert to fraction form
    76,357.74/114,477.15 = 36,356.14/x
  3. Step 3: Cross multiply
    76,357.74x = 114,477.15 × 36,356.14
  4. Step 4: Simplify right side
    76,357.74x = 4,161,947,367.13
  5. Step 5: Solve for x
    x = 4,161,947,367.13/76,357.74
  6. Step 6: Final answer
    x = 54,505.90

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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.