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Finding the Fourth Proportional to 57,057.81, 85,510.31 and 32,085.51

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Solution

The fourth proportional to 57,057.81, 85,510.31 and 32,085.51 is: 48,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.81 : 85,510.31 = 32,085.51 : x
  2. Step 2: Convert to fraction form
    57,057.81/85,510.31 = 32,085.51/x
  3. Step 3: Cross multiply
    57,057.81x = 85,510.31 × 32,085.51
  4. Step 4: Simplify right side
    57,057.81x = 2,743,641,746.18
  5. Step 5: Solve for x
    x = 2,743,641,746.18/57,057.81
  6. Step 6: Final answer
    x = 48,085.30

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Why These Related Problems?

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