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Finding the Fourth Proportional to 38,447.84, 53,058.06 and 22,532.31

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Solution

The fourth proportional to 38,447.84, 53,058.06 and 22,532.31 is: 31,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.84 : 53,058.06 = 22,532.31 : x
  2. Step 2: Convert to fraction form
    38,447.84/53,058.06 = 22,532.31/x
  3. Step 3: Cross multiply
    38,447.84x = 53,058.06 × 22,532.31
  4. Step 4: Simplify right side
    38,447.84x = 1,195,520,655.92
  5. Step 5: Solve for x
    x = 1,195,520,655.92/38,447.84
  6. Step 6: Final answer
    x = 31,094.61

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