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Finding the Fourth Proportional to 73,013.47, 100,758.74 and 41,182.49

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Solution

The fourth proportional to 73,013.47, 100,758.74 and 41,182.49 is: 56,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,013.47 : 100,758.74 = 41,182.49 : x
  2. Step 2: Convert to fraction form
    73,013.47/100,758.74 = 41,182.49/x
  3. Step 3: Cross multiply
    73,013.47x = 100,758.74 × 41,182.49
  4. Step 4: Simplify right side
    73,013.47x = 4,149,495,848.45
  5. Step 5: Solve for x
    x = 4,149,495,848.45/73,013.47
  6. Step 6: Final answer
    x = 56,831.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.