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Finding the Fourth Proportional to 57,805.34, 86,713.77 and 15,686.09

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Solution

The fourth proportional to 57,805.34, 86,713.77 and 15,686.09 is: 23,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.34 : 86,713.77 = 15,686.09 : x
  2. Step 2: Convert to fraction form
    57,805.34/86,713.77 = 15,686.09/x
  3. Step 3: Cross multiply
    57,805.34x = 86,713.77 × 15,686.09
  4. Step 4: Simplify right side
    57,805.34x = 1,360,199,566.89
  5. Step 5: Solve for x
    x = 1,360,199,566.89/57,805.34
  6. Step 6: Final answer
    x = 23,530.69

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1.5x scale

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.