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Finding the Fourth Proportional to 57,784.92, 86,678.52 and 26,189.16

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Solution

The fourth proportional to 57,784.92, 86,678.52 and 26,189.16 is: 39,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.92 : 86,678.52 = 26,189.16 : x
  2. Step 2: Convert to fraction form
    57,784.92/86,678.52 = 26,189.16/x
  3. Step 3: Cross multiply
    57,784.92x = 86,678.52 × 26,189.16
  4. Step 4: Simplify right side
    57,784.92x = 2,270,037,628.84
  5. Step 5: Solve for x
    x = 2,270,037,628.84/57,784.92
  6. Step 6: Final answer
    x = 39,284.26

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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.