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Finding the Fourth Proportional to 57,709.90, 86,564.85 and 54,210.70

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Solution

The fourth proportional to 57,709.90, 86,564.85 and 54,210.70 is: 81,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.90 : 86,564.85 = 54,210.70 : x
  2. Step 2: Convert to fraction form
    57,709.90/86,564.85 = 54,210.70/x
  3. Step 3: Cross multiply
    57,709.90x = 86,564.85 × 54,210.70
  4. Step 4: Simplify right side
    57,709.90x = 4,692,741,113.90
  5. Step 5: Solve for x
    x = 4,692,741,113.90/57,709.90
  6. Step 6: Final answer
    x = 81,316.05

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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.