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Finding the Fourth Proportional to 58,684.16, 88,031.16 and 18,708.82

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Solution

The fourth proportional to 58,684.16, 88,031.16 and 18,708.82 is: 28,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684.16 : 88,031.16 = 18,708.82 : x
  2. Step 2: Convert to fraction form
    58,684.16/88,031.16 = 18,708.82/x
  3. Step 3: Cross multiply
    58,684.16x = 88,031.16 × 18,708.82
  4. Step 4: Simplify right side
    58,684.16x = 1,646,958,593.13
  5. Step 5: Solve for x
    x = 1,646,958,593.13/58,684.16
  6. Step 6: Final answer
    x = 28,064.79

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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.