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Finding the Fourth Proportional to 51,516.70, 77,256.88 and 24,495.68

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Solution

The fourth proportional to 51,516.70, 77,256.88 and 24,495.68 is: 36,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516.70 : 77,256.88 = 24,495.68 : x
  2. Step 2: Convert to fraction form
    51,516.70/77,256.88 = 24,495.68/x
  3. Step 3: Cross multiply
    51,516.70x = 77,256.88 × 24,495.68
  4. Step 4: Simplify right side
    51,516.70x = 1,892,459,810.28
  5. Step 5: Solve for x
    x = 1,892,459,810.28/51,516.70
  6. Step 6: Final answer
    x = 36,734.88

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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.