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Finding the Fourth Proportional to 51,462.40, 77,193.60 and 21,881.20

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Solution

The fourth proportional to 51,462.40, 77,193.60 and 21,881.20 is: 32,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.40 : 77,193.60 = 21,881.20 : x
  2. Step 2: Convert to fraction form
    51,462.40/77,193.60 = 21,881.20/x
  3. Step 3: Cross multiply
    51,462.40x = 77,193.60 × 21,881.20
  4. Step 4: Simplify right side
    51,462.40x = 1,689,088,600.32
  5. Step 5: Solve for x
    x = 1,689,088,600.32/51,462.40
  6. Step 6: Final answer
    x = 32,821.80

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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.