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Finding the Fourth Proportional to 27,746.47, 41,709.92 and 22,259.83

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Solution

The fourth proportional to 27,746.47, 41,709.92 and 22,259.83 is: 33,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.47 : 41,709.92 = 22,259.83 : x
  2. Step 2: Convert to fraction form
    27,746.47/41,709.92 = 22,259.83/x
  3. Step 3: Cross multiply
    27,746.47x = 41,709.92 × 22,259.83
  4. Step 4: Simplify right side
    27,746.47x = 928,455,728.51
  5. Step 5: Solve for x
    x = 928,455,728.51/27,746.47
  6. Step 6: Final answer
    x = 33,462.12

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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.