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Finding the Fourth Proportional to 37,838.02, 52,215.96 and 21,071.02

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Solution

The fourth proportional to 37,838.02, 52,215.96 and 21,071.02 is: 29,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.02 : 52,215.96 = 21,071.02 : x
  2. Step 2: Convert to fraction form
    37,838.02/52,215.96 = 21,071.02/x
  3. Step 3: Cross multiply
    37,838.02x = 52,215.96 × 21,071.02
  4. Step 4: Simplify right side
    37,838.02x = 1,100,243,537.48
  5. Step 5: Solve for x
    x = 1,100,243,537.48/37,838.02
  6. Step 6: Final answer
    x = 29,077.72

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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.