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Finding the Fourth Proportional to 67,384.68, 101,077.02 and 37,823.28

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Solution

The fourth proportional to 67,384.68, 101,077.02 and 37,823.28 is: 56,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,384.68 : 101,077.02 = 37,823.28 : x
  2. Step 2: Convert to fraction form
    67,384.68/101,077.02 = 37,823.28/x
  3. Step 3: Cross multiply
    67,384.68x = 101,077.02 × 37,823.28
  4. Step 4: Simplify right side
    67,384.68x = 3,823,064,429.03
  5. Step 5: Solve for x
    x = 3,823,064,429.03/67,384.68
  6. Step 6: Final answer
    x = 56,734.92

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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.