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Finding the Fourth Proportional to 38,701.46, 53,408.60 and 21,709.47

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Solution

The fourth proportional to 38,701.46, 53,408.60 and 21,709.47 is: 29,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.46 : 53,408.60 = 21,709.47 : x
  2. Step 2: Convert to fraction form
    38,701.46/53,408.60 = 21,709.47/x
  3. Step 3: Cross multiply
    38,701.46x = 53,408.60 × 21,709.47
  4. Step 4: Simplify right side
    38,701.46x = 1,159,472,290.89
  5. Step 5: Solve for x
    x = 1,159,472,290.89/38,701.46
  6. Step 6: Final answer
    x = 29,959.40

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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.