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Finding the Fourth Proportional to 37,251, 51,417.32 and 22,154.36

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Solution

The fourth proportional to 37,251, 51,417.32 and 22,154.36 is: 30,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,251 : 51,417.32 = 22,154.36 : x
  2. Step 2: Convert to fraction form
    37,251/51,417.32 = 22,154.36/x
  3. Step 3: Cross multiply
    37,251x = 51,417.32 × 22,154.36
  4. Step 4: Simplify right side
    37,251x = 1,139,117,449.66
  5. Step 5: Solve for x
    x = 1,139,117,449.66/37,251
  6. Step 6: Final answer
    x = 30,579.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.