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Finding the Fourth Proportional to 77,263.84, 115,905.48 and 27,332.20

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Solution

The fourth proportional to 77,263.84, 115,905.48 and 27,332.20 is: 41,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263.84 : 115,905.48 = 27,332.20 : x
  2. Step 2: Convert to fraction form
    77,263.84/115,905.48 = 27,332.20/x
  3. Step 3: Cross multiply
    77,263.84x = 115,905.48 × 27,332.20
  4. Step 4: Simplify right side
    77,263.84x = 3,167,951,760.46
  5. Step 5: Solve for x
    x = 3,167,951,760.46/77,263.84
  6. Step 6: Final answer
    x = 41,001.74

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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.