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Finding the Fourth Proportional to 100,760, 139,049.61 and 56,048

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Solution

The fourth proportional to 100,760, 139,049.61 and 56,048 is: 77,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,760 : 139,049.61 = 56,048 : x
  2. Step 2: Convert to fraction form
    100,760/139,049.61 = 56,048/x
  3. Step 3: Cross multiply
    100,760x = 139,049.61 × 56,048
  4. Step 4: Simplify right side
    100,760x = 7,793,452,541.28
  5. Step 5: Solve for x
    x = 7,793,452,541.28/100,760
  6. Step 6: Final answer
    x = 77,346.69

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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.