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Finding the Fourth Proportional to 34,685.30, 47,886.30 and 22,769.52

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Solution

The fourth proportional to 34,685.30, 47,886.30 and 22,769.52 is: 31,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685.30 : 47,886.30 = 22,769.52 : x
  2. Step 2: Convert to fraction form
    34,685.30/47,886.30 = 22,769.52/x
  3. Step 3: Cross multiply
    34,685.30x = 47,886.30 × 22,769.52
  4. Step 4: Simplify right side
    34,685.30x = 1,090,348,065.58
  5. Step 5: Solve for x
    x = 1,090,348,065.58/34,685.30
  6. Step 6: Final answer
    x = 31,435.46

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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.