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Finding the Fourth Proportional to 48,768.96, 67,307.84 and 28,072

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Solution

The fourth proportional to 48,768.96, 67,307.84 and 28,072 is: 38,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768.96 : 67,307.84 = 28,072 : x
  2. Step 2: Convert to fraction form
    48,768.96/67,307.84 = 28,072/x
  3. Step 3: Cross multiply
    48,768.96x = 67,307.84 × 28,072
  4. Step 4: Simplify right side
    48,768.96x = 1,889,465,684.48
  5. Step 5: Solve for x
    x = 1,889,465,684.48/48,768.96
  6. Step 6: Final answer
    x = 38,743.20

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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.