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Finding the Fourth Proportional to 32,810.38, 49,212.45 and 13,083.66

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Solution

The fourth proportional to 32,810.38, 49,212.45 and 13,083.66 is: 19,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.38 : 49,212.45 = 13,083.66 : x
  2. Step 2: Convert to fraction form
    32,810.38/49,212.45 = 13,083.66/x
  3. Step 3: Cross multiply
    32,810.38x = 49,212.45 × 13,083.66
  4. Step 4: Simplify right side
    32,810.38x = 643,878,963.57
  5. Step 5: Solve for x
    x = 643,878,963.57/32,810.38
  6. Step 6: Final answer
    x = 19,624.25

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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.