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Finding the Fourth Proportional to 51,026.40, 70,417.80 and 30,879

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Solution

The fourth proportional to 51,026.40, 70,417.80 and 30,879 is: 42,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,026.40 : 70,417.80 = 30,879 : x
  2. Step 2: Convert to fraction form
    51,026.40/70,417.80 = 30,879/x
  3. Step 3: Cross multiply
    51,026.40x = 70,417.80 × 30,879
  4. Step 4: Simplify right side
    51,026.40x = 2,174,431,246.20
  5. Step 5: Solve for x
    x = 2,174,431,246.20/51,026.40
  6. Step 6: Final answer
    x = 42,613.85

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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.