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Finding the Fourth Proportional to 71,012.21, 97,996.47 and 38,746.82

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Solution

The fourth proportional to 71,012.21, 97,996.47 and 38,746.82 is: 53,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012.21 : 97,996.47 = 38,746.82 : x
  2. Step 2: Convert to fraction form
    71,012.21/97,996.47 = 38,746.82/x
  3. Step 3: Cross multiply
    71,012.21x = 97,996.47 × 38,746.82
  4. Step 4: Simplify right side
    71,012.21x = 3,797,051,093.74
  5. Step 5: Solve for x
    x = 3,797,051,093.74/71,012.21
  6. Step 6: Final answer
    x = 53,470.40

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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.