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Finding the Fourth Proportional to 31,295.52, 46,700.64 and 27,972

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Solution

The fourth proportional to 31,295.52, 46,700.64 and 27,972 is: 41,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.52 : 46,700.64 = 27,972 : x
  2. Step 2: Convert to fraction form
    31,295.52/46,700.64 = 27,972/x
  3. Step 3: Cross multiply
    31,295.52x = 46,700.64 × 27,972
  4. Step 4: Simplify right side
    31,295.52x = 1,306,310,302.08
  5. Step 5: Solve for x
    x = 1,306,310,302.08/31,295.52
  6. Step 6: Final answer
    x = 41,741.13

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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.