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Finding the Fourth Proportional to 32,967.14, 49,445.24 and 11,903.13

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Solution

The fourth proportional to 32,967.14, 49,445.24 and 11,903.13 is: 17,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.14 : 49,445.24 = 11,903.13 : x
  2. Step 2: Convert to fraction form
    32,967.14/49,445.24 = 11,903.13/x
  3. Step 3: Cross multiply
    32,967.14x = 49,445.24 × 11,903.13
  4. Step 4: Simplify right side
    32,967.14x = 588,553,060.09
  5. Step 5: Solve for x
    x = 588,553,060.09/32,967.14
  6. Step 6: Final answer
    x = 17,852.72

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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.