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Finding the Fourth Proportional to 37,581.75, 51,870.74 and 34,552.08

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Solution

The fourth proportional to 37,581.75, 51,870.74 and 34,552.08 is: 47,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,581.75 : 51,870.74 = 34,552.08 : x
  2. Step 2: Convert to fraction form
    37,581.75/51,870.74 = 34,552.08/x
  3. Step 3: Cross multiply
    37,581.75x = 51,870.74 × 34,552.08
  4. Step 4: Simplify right side
    37,581.75x = 1,792,241,785.38
  5. Step 5: Solve for x
    x = 1,792,241,785.38/37,581.75
  6. Step 6: Final answer
    x = 47,689.15

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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.