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Finding the Fourth Proportional to 31,157.96, 42,965.25 and 20,534

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Solution

The fourth proportional to 31,157.96, 42,965.25 and 20,534 is: 28,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.96 : 42,965.25 = 20,534 : x
  2. Step 2: Convert to fraction form
    31,157.96/42,965.25 = 20,534/x
  3. Step 3: Cross multiply
    31,157.96x = 42,965.25 × 20,534
  4. Step 4: Simplify right side
    31,157.96x = 882,248,443.50
  5. Step 5: Solve for x
    x = 882,248,443.50/31,157.96
  6. Step 6: Final answer
    x = 28,315.35

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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.