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Finding the Fourth Proportional to 37,758.40, 56,638.56 and 21,109.12

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Solution

The fourth proportional to 37,758.40, 56,638.56 and 21,109.12 is: 31,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.40 : 56,638.56 = 21,109.12 : x
  2. Step 2: Convert to fraction form
    37,758.40/56,638.56 = 21,109.12/x
  3. Step 3: Cross multiply
    37,758.40x = 56,638.56 × 21,109.12
  4. Step 4: Simplify right side
    37,758.40x = 1,195,590,159.67
  5. Step 5: Solve for x
    x = 1,195,590,159.67/37,758.40
  6. Step 6: Final answer
    x = 31,664.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.