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Finding the Fourth Proportional to 32,738, 49,110.24 and 13,012.16

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Solution

The fourth proportional to 32,738, 49,110.24 and 13,012.16 is: 19,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738 : 49,110.24 = 13,012.16 : x
  2. Step 2: Convert to fraction form
    32,738/49,110.24 = 13,012.16/x
  3. Step 3: Cross multiply
    32,738x = 49,110.24 × 13,012.16
  4. Step 4: Simplify right side
    32,738x = 639,030,300.52
  5. Step 5: Solve for x
    x = 639,030,300.52/32,738
  6. Step 6: Final answer
    x = 19,519.53

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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.