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Finding the Fourth Proportional to 37,097.51, 55,645.77 and 9,017.49

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Solution

The fourth proportional to 37,097.51, 55,645.77 and 9,017.49 is: 13,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.51 : 55,645.77 = 9,017.49 : x
  2. Step 2: Convert to fraction form
    37,097.51/55,645.77 = 9,017.49/x
  3. Step 3: Cross multiply
    37,097.51x = 55,645.77 × 9,017.49
  4. Step 4: Simplify right side
    37,097.51x = 501,785,174.52
  5. Step 5: Solve for x
    x = 501,785,174.52/37,097.51
  6. Step 6: Final answer
    x = 13,526.11

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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.