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Finding the Fourth Proportional to 57,386.69, 86,085.00 and 15,833.69

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Solution

The fourth proportional to 57,386.69, 86,085.00 and 15,833.69 is: 23,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386.69 : 86,085.00 = 15,833.69 : x
  2. Step 2: Convert to fraction form
    57,386.69/86,085.00 = 15,833.69/x
  3. Step 3: Cross multiply
    57,386.69x = 86,085.00 × 15,833.69
  4. Step 4: Simplify right side
    57,386.69x = 1,363,043,124.48
  5. Step 5: Solve for x
    x = 1,363,043,124.48/57,386.69
  6. Step 6: Final answer
    x = 23,751.90

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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.