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Finding the Fourth Proportional to 32,923.98, 49,397.06 and 10,438.34

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Solution

The fourth proportional to 32,923.98, 49,397.06 and 10,438.34 is: 15,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.98 : 49,397.06 = 10,438.34 : x
  2. Step 2: Convert to fraction form
    32,923.98/49,397.06 = 10,438.34/x
  3. Step 3: Cross multiply
    32,923.98x = 49,397.06 × 10,438.34
  4. Step 4: Simplify right side
    32,923.98x = 515,623,086.39
  5. Step 5: Solve for x
    x = 515,623,086.39/32,923.98
  6. Step 6: Final answer
    x = 15,661.02

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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.