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Finding the Fourth Proportional to 57,952.86, 86,985.33 and 27,988.10

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Solution

The fourth proportional to 57,952.86, 86,985.33 and 27,988.10 is: 42,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.86 : 86,985.33 = 27,988.10 : x
  2. Step 2: Convert to fraction form
    57,952.86/86,985.33 = 27,988.10/x
  3. Step 3: Cross multiply
    57,952.86x = 86,985.33 × 27,988.10
  4. Step 4: Simplify right side
    57,952.86x = 2,434,554,114.57
  5. Step 5: Solve for x
    x = 2,434,554,114.57/57,952.86
  6. Step 6: Final answer
    x = 42,009.21

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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.