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Finding the Fourth Proportional to 51,376.80, 77,007.60 and 26,407.20

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Solution

The fourth proportional to 51,376.80, 77,007.60 and 26,407.20 is: 39,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,376.80 : 77,007.60 = 26,407.20 : x
  2. Step 2: Convert to fraction form
    51,376.80/77,007.60 = 26,407.20/x
  3. Step 3: Cross multiply
    51,376.80x = 77,007.60 × 26,407.20
  4. Step 4: Simplify right side
    51,376.80x = 2,033,555,094.72
  5. Step 5: Solve for x
    x = 2,033,555,094.72/51,376.80
  6. Step 6: Final answer
    x = 39,581.19

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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.