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Finding the Fourth Proportional to 51,351.44, 77,090.59 and 24,359.59

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Solution

The fourth proportional to 51,351.44, 77,090.59 and 24,359.59 is: 36,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351.44 : 77,090.59 = 24,359.59 : x
  2. Step 2: Convert to fraction form
    51,351.44/77,090.59 = 24,359.59/x
  3. Step 3: Cross multiply
    51,351.44x = 77,090.59 × 24,359.59
  4. Step 4: Simplify right side
    51,351.44x = 1,877,895,252.17
  5. Step 5: Solve for x
    x = 1,877,895,252.17/51,351.44
  6. Step 6: Final answer
    x = 36,569.47

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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.