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Finding the Fourth Proportional to 77,655.85, 116,483.92 and 21,496.12

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Solution

The fourth proportional to 77,655.85, 116,483.92 and 21,496.12 is: 32,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,655.85 : 116,483.92 = 21,496.12 : x
  2. Step 2: Convert to fraction form
    77,655.85/116,483.92 = 21,496.12/x
  3. Step 3: Cross multiply
    77,655.85x = 116,483.92 × 21,496.12
  4. Step 4: Simplify right side
    77,655.85x = 2,503,952,098.36
  5. Step 5: Solve for x
    x = 2,503,952,098.36/77,655.85
  6. Step 6: Final answer
    x = 32,244.22

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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.