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Finding the Fourth Proportional to 61,016.32, 84,188 and 37,142.72

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Solution

The fourth proportional to 61,016.32, 84,188 and 37,142.72 is: 51,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,016.32 : 84,188 = 37,142.72 : x
  2. Step 2: Convert to fraction form
    61,016.32/84,188 = 37,142.72/x
  3. Step 3: Cross multiply
    61,016.32x = 84,188 × 37,142.72
  4. Step 4: Simplify right side
    61,016.32x = 3,126,971,311.36
  5. Step 5: Solve for x
    x = 3,126,971,311.36/61,016.32
  6. Step 6: Final answer
    x = 51,248.11

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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.