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Finding the Fourth Proportional to 32,740.74, 49,111.11 and 13,009.14

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Solution

The fourth proportional to 32,740.74, 49,111.11 and 13,009.14 is: 19,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740.74 : 49,111.11 = 13,009.14 : x
  2. Step 2: Convert to fraction form
    32,740.74/49,111.11 = 13,009.14/x
  3. Step 3: Cross multiply
    32,740.74x = 49,111.11 × 13,009.14
  4. Step 4: Simplify right side
    32,740.74x = 638,893,305.55
  5. Step 5: Solve for x
    x = 638,893,305.55/32,740.74
  6. Step 6: Final answer
    x = 19,513.71

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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.