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Finding the Fourth Proportional to 57,354.32, 85,998 and 22,252.97

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Solution

The fourth proportional to 57,354.32, 85,998 and 22,252.97 is: 33,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354.32 : 85,998 = 22,252.97 : x
  2. Step 2: Convert to fraction form
    57,354.32/85,998 = 22,252.97/x
  3. Step 3: Cross multiply
    57,354.32x = 85,998 × 22,252.97
  4. Step 4: Simplify right side
    57,354.32x = 1,913,710,914.06
  5. Step 5: Solve for x
    x = 1,913,710,914.06/57,354.32
  6. Step 6: Final answer
    x = 33,366.47

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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.