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Finding the Fourth Proportional to 73,947, 102,011.18 and 48,442.24

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Solution

The fourth proportional to 73,947, 102,011.18 and 48,442.24 is: 66,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,947 : 102,011.18 = 48,442.24 : x
  2. Step 2: Convert to fraction form
    73,947/102,011.18 = 48,442.24/x
  3. Step 3: Cross multiply
    73,947x = 102,011.18 × 48,442.24
  4. Step 4: Simplify right side
    73,947x = 4,941,650,064.24
  5. Step 5: Solve for x
    x = 4,941,650,064.24/73,947
  6. Step 6: Final answer
    x = 66,826.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.