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Finding the Fourth Proportional to 51,606.30, 77,341.77 and 37,422.30

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Solution

The fourth proportional to 51,606.30, 77,341.77 and 37,422.30 is: 56,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606.30 : 77,341.77 = 37,422.30 : x
  2. Step 2: Convert to fraction form
    51,606.30/77,341.77 = 37,422.30/x
  3. Step 3: Cross multiply
    51,606.30x = 77,341.77 × 37,422.30
  4. Step 4: Simplify right side
    51,606.30x = 2,894,306,919.47
  5. Step 5: Solve for x
    x = 2,894,306,919.47/51,606.30
  6. Step 6: Final answer
    x = 56,084.37

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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.