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Finding the Fourth Proportional to 50,867.42, 70,254.52 and 34,707

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Solution

The fourth proportional to 50,867.42, 70,254.52 and 34,707 is: 47,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,867.42 : 70,254.52 = 34,707 : x
  2. Step 2: Convert to fraction form
    50,867.42/70,254.52 = 34,707/x
  3. Step 3: Cross multiply
    50,867.42x = 70,254.52 × 34,707
  4. Step 4: Simplify right side
    50,867.42x = 2,438,323,625.64
  5. Step 5: Solve for x
    x = 2,438,323,625.64/50,867.42
  6. Step 6: Final answer
    x = 47,934.88

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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.