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Finding the Fourth Proportional to 76,358.74, 114,478.65 and 36,357.14

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Solution

The fourth proportional to 76,358.74, 114,478.65 and 36,357.14 is: 54,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.74 : 114,478.65 = 36,357.14 : x
  2. Step 2: Convert to fraction form
    76,358.74/114,478.65 = 36,357.14/x
  3. Step 3: Cross multiply
    76,358.74x = 114,478.65 × 36,357.14
  4. Step 4: Simplify right side
    76,358.74x = 4,162,116,305.06
  5. Step 5: Solve for x
    x = 4,162,116,305.06/76,358.74
  6. Step 6: Final answer
    x = 54,507.40

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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.