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Finding the Fourth Proportional to 76,001.62, 113,831.12 and 36,588.24

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Solution

The fourth proportional to 76,001.62, 113,831.12 and 36,588.24 is: 54,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,001.62 : 113,831.12 = 36,588.24 : x
  2. Step 2: Convert to fraction form
    76,001.62/113,831.12 = 36,588.24/x
  3. Step 3: Cross multiply
    76,001.62x = 113,831.12 × 36,588.24
  4. Step 4: Simplify right side
    76,001.62x = 4,164,880,338.03
  5. Step 5: Solve for x
    x = 4,164,880,338.03/76,001.62
  6. Step 6: Final answer
    x = 54,799.89

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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.