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Finding the Fourth Proportional to 57,701.80, 86,552.70 and 31,457.80

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Solution

The fourth proportional to 57,701.80, 86,552.70 and 31,457.80 is: 47,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.80 : 86,552.70 = 31,457.80 : x
  2. Step 2: Convert to fraction form
    57,701.80/86,552.70 = 31,457.80/x
  3. Step 3: Cross multiply
    57,701.80x = 86,552.70 × 31,457.80
  4. Step 4: Simplify right side
    57,701.80x = 2,722,757,526.06
  5. Step 5: Solve for x
    x = 2,722,757,526.06/57,701.80
  6. Step 6: Final answer
    x = 47,186.70

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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.