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Finding the Fourth Proportional to 51,819.48, 77,729.22 and 14,883.48

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Solution

The fourth proportional to 51,819.48, 77,729.22 and 14,883.48 is: 22,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.48 : 77,729.22 = 14,883.48 : x
  2. Step 2: Convert to fraction form
    51,819.48/77,729.22 = 14,883.48/x
  3. Step 3: Cross multiply
    51,819.48x = 77,729.22 × 14,883.48
  4. Step 4: Simplify right side
    51,819.48x = 1,156,881,291.29
  5. Step 5: Solve for x
    x = 1,156,881,291.29/51,819.48
  6. Step 6: Final answer
    x = 22,325.22

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1.5x scale

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.