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Finding the Fourth Proportional to 31,297.98, 46,667.76 and 27,820.65

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Solution

The fourth proportional to 31,297.98, 46,667.76 and 27,820.65 is: 41,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.98 : 46,667.76 = 27,820.65 : x
  2. Step 2: Convert to fraction form
    31,297.98/46,667.76 = 27,820.65/x
  3. Step 3: Cross multiply
    31,297.98x = 46,667.76 × 27,820.65
  4. Step 4: Simplify right side
    31,297.98x = 1,298,327,417.24
  5. Step 5: Solve for x
    x = 1,298,327,417.24/31,297.98
  6. Step 6: Final answer
    x = 41,482.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.