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Finding the Fourth Proportional to 50,468.91, 75,712.25 and 20,870.16

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Solution

The fourth proportional to 50,468.91, 75,712.25 and 20,870.16 is: 31,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.91 : 75,712.25 = 20,870.16 : x
  2. Step 2: Convert to fraction form
    50,468.91/75,712.25 = 20,870.16/x
  3. Step 3: Cross multiply
    50,468.91x = 75,712.25 × 20,870.16
  4. Step 4: Simplify right side
    50,468.91x = 1,580,126,667.11
  5. Step 5: Solve for x
    x = 1,580,126,667.11/50,468.91
  6. Step 6: Final answer
    x = 31,308.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.