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Finding the Fourth Proportional to 67,785.66, 101,681.76 and 32,754.78

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Solution

The fourth proportional to 67,785.66, 101,681.76 and 32,754.78 is: 49,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,785.66 : 101,681.76 = 32,754.78 : x
  2. Step 2: Convert to fraction form
    67,785.66/101,681.76 = 32,754.78/x
  3. Step 3: Cross multiply
    67,785.66x = 101,681.76 × 32,754.78
  4. Step 4: Simplify right side
    67,785.66x = 3,330,563,678.81
  5. Step 5: Solve for x
    x = 3,330,563,678.81/67,785.66
  6. Step 6: Final answer
    x = 49,133.75

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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.