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Finding the Fourth Proportional to 34,656.38, 47,826.30 and 21,222.74

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Solution

The fourth proportional to 34,656.38, 47,826.30 and 21,222.74 is: 29,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.38 : 47,826.30 = 21,222.74 : x
  2. Step 2: Convert to fraction form
    34,656.38/47,826.30 = 21,222.74/x
  3. Step 3: Cross multiply
    34,656.38x = 47,826.30 × 21,222.74
  4. Step 4: Simplify right side
    34,656.38x = 1,015,005,130.06
  5. Step 5: Solve for x
    x = 1,015,005,130.06/34,656.38
  6. Step 6: Final answer
    x = 29,287.68

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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.