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Finding the Fourth Proportional to 85,111.32, 127,675.44 and 32,565

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Solution

The fourth proportional to 85,111.32, 127,675.44 and 32,565 is: 48,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,111.32 : 127,675.44 = 32,565 : x
  2. Step 2: Convert to fraction form
    85,111.32/127,675.44 = 32,565/x
  3. Step 3: Cross multiply
    85,111.32x = 127,675.44 × 32,565
  4. Step 4: Simplify right side
    85,111.32x = 4,157,750,703.60
  5. Step 5: Solve for x
    x = 4,157,750,703.60/85,111.32
  6. Step 6: Final answer
    x = 48,850.74

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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.