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Finding the Fourth Proportional to 77,648.33, 116,475.11 and 21,483.74

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Solution

The fourth proportional to 77,648.33, 116,475.11 and 21,483.74 is: 32,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648.33 : 116,475.11 = 21,483.74 : x
  2. Step 2: Convert to fraction form
    77,648.33/116,475.11 = 21,483.74/x
  3. Step 3: Cross multiply
    77,648.33x = 116,475.11 × 21,483.74
  4. Step 4: Simplify right side
    77,648.33x = 2,502,321,163.48
  5. Step 5: Solve for x
    x = 2,502,321,163.48/77,648.33
  6. Step 6: Final answer
    x = 32,226.33

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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.