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Finding the Fourth Proportional to 48,193, 66,547.38 and 30,317.92

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Solution

The fourth proportional to 48,193, 66,547.38 and 30,317.92 is: 41,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193 : 66,547.38 = 30,317.92 : x
  2. Step 2: Convert to fraction form
    48,193/66,547.38 = 30,317.92/x
  3. Step 3: Cross multiply
    48,193x = 66,547.38 × 30,317.92
  4. Step 4: Simplify right side
    48,193x = 2,017,578,143.05
  5. Step 5: Solve for x
    x = 2,017,578,143.05/48,193
  6. Step 6: Final answer
    x = 41,864.55

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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.