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Finding the Fourth Proportional to 129,829.40, 194,722.02 and 36,313.40

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Solution

The fourth proportional to 129,829.40, 194,722.02 and 36,313.40 is: 54,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,829.40 : 194,722.02 = 36,313.40 : x
  2. Step 2: Convert to fraction form
    129,829.40/194,722.02 = 36,313.40/x
  3. Step 3: Cross multiply
    129,829.40x = 194,722.02 × 36,313.40
  4. Step 4: Simplify right side
    129,829.40x = 7,071,018,601.07
  5. Step 5: Solve for x
    x = 7,071,018,601.07/129,829.40
  6. Step 6: Final answer
    x = 54,463.92

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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.