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Finding the Fourth Proportional to 48,803.52, 67,381.92 and 30,914.40

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Solution

The fourth proportional to 48,803.52, 67,381.92 and 30,914.40 is: 42,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803.52 : 67,381.92 = 30,914.40 : x
  2. Step 2: Convert to fraction form
    48,803.52/67,381.92 = 30,914.40/x
  3. Step 3: Cross multiply
    48,803.52x = 67,381.92 × 30,914.40
  4. Step 4: Simplify right side
    48,803.52x = 2,083,071,627.65
  5. Step 5: Solve for x
    x = 2,083,071,627.65/48,803.52
  6. Step 6: Final answer
    x = 42,682.82

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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.