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Finding the Fourth Proportional to 48,176.42, 66,477.90 and 27,761.46

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Solution

The fourth proportional to 48,176.42, 66,477.90 and 27,761.46 is: 38,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,176.42 : 66,477.90 = 27,761.46 : x
  2. Step 2: Convert to fraction form
    48,176.42/66,477.90 = 27,761.46/x
  3. Step 3: Cross multiply
    48,176.42x = 66,477.90 × 27,761.46
  4. Step 4: Simplify right side
    48,176.42x = 1,845,523,229.34
  5. Step 5: Solve for x
    x = 1,845,523,229.34/48,176.42
  6. Step 6: Final answer
    x = 38,307.61

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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.