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Finding the Fourth Proportional to 57,698.91, 86,587.01 and 20,259.10

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Solution

The fourth proportional to 57,698.91, 86,587.01 and 20,259.10 is: 30,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698.91 : 86,587.01 = 20,259.10 : x
  2. Step 2: Convert to fraction form
    57,698.91/86,587.01 = 20,259.10/x
  3. Step 3: Cross multiply
    57,698.91x = 86,587.01 × 20,259.10
  4. Step 4: Simplify right side
    57,698.91x = 1,754,174,940.91
  5. Step 5: Solve for x
    x = 1,754,174,940.91/57,698.91
  6. Step 6: Final answer
    x = 30,402.22

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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.