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Finding the Fourth Proportional to 57,382.48, 86,070.38 and 25,784.38

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Solution

The fourth proportional to 57,382.48, 86,070.38 and 25,784.38 is: 38,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382.48 : 86,070.38 = 25,784.38 : x
  2. Step 2: Convert to fraction form
    57,382.48/86,070.38 = 25,784.38/x
  3. Step 3: Cross multiply
    57,382.48x = 86,070.38 × 25,784.38
  4. Step 4: Simplify right side
    57,382.48x = 2,219,271,040.57
  5. Step 5: Solve for x
    x = 2,219,271,040.57/57,382.48
  6. Step 6: Final answer
    x = 38,675.06

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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.