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Finding the Fourth Proportional to 55,012.32, 75,888 and 34,833.60

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Solution

The fourth proportional to 55,012.32, 75,888 and 34,833.60 is: 48,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,012.32 : 75,888 = 34,833.60 : x
  2. Step 2: Convert to fraction form
    55,012.32/75,888 = 34,833.60/x
  3. Step 3: Cross multiply
    55,012.32x = 75,888 × 34,833.60
  4. Step 4: Simplify right side
    55,012.32x = 2,643,452,236.80
  5. Step 5: Solve for x
    x = 2,643,452,236.80/55,012.32
  6. Step 6: Final answer
    x = 48,052.00

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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.