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Finding the Fourth Proportional to 67,758.38, 93,506.74 and 37,543.46

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Solution

The fourth proportional to 67,758.38, 93,506.74 and 37,543.46 is: 51,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,758.38 : 93,506.74 = 37,543.46 : x
  2. Step 2: Convert to fraction form
    67,758.38/93,506.74 = 37,543.46/x
  3. Step 3: Cross multiply
    67,758.38x = 93,506.74 × 37,543.46
  4. Step 4: Simplify right side
    67,758.38x = 3,510,566,552.92
  5. Step 5: Solve for x
    x = 3,510,566,552.92/67,758.38
  6. Step 6: Final answer
    x = 51,810.07

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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.