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Finding the Fourth Proportional to 32,839.40, 49,244.70 and 13,111.40

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Solution

The fourth proportional to 32,839.40, 49,244.70 and 13,111.40 is: 19,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.40 : 49,244.70 = 13,111.40 : x
  2. Step 2: Convert to fraction form
    32,839.40/49,244.70 = 13,111.40/x
  3. Step 3: Cross multiply
    32,839.40x = 49,244.70 × 13,111.40
  4. Step 4: Simplify right side
    32,839.40x = 645,666,959.58
  5. Step 5: Solve for x
    x = 645,666,959.58/32,839.40
  6. Step 6: Final answer
    x = 19,661.35

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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.