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Finding the Fourth Proportional to 77,588.38, 107,112.88 and 52,228.08

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Solution

The fourth proportional to 77,588.38, 107,112.88 and 52,228.08 is: 72,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,588.38 : 107,112.88 = 52,228.08 : x
  2. Step 2: Convert to fraction form
    77,588.38/107,112.88 = 52,228.08/x
  3. Step 3: Cross multiply
    77,588.38x = 107,112.88 × 52,228.08
  4. Step 4: Simplify right side
    77,588.38x = 5,594,300,065.67
  5. Step 5: Solve for x
    x = 5,594,300,065.67/77,588.38
  6. Step 6: Final answer
    x = 72,102.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.