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Finding the Fourth Proportional to 31,094.16, 46,644.52 and 11,374.48

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Solution

The fourth proportional to 31,094.16, 46,644.52 and 11,374.48 is: 17,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.16 : 46,644.52 = 11,374.48 : x
  2. Step 2: Convert to fraction form
    31,094.16/46,644.52 = 11,374.48/x
  3. Step 3: Cross multiply
    31,094.16x = 46,644.52 × 11,374.48
  4. Step 4: Simplify right side
    31,094.16x = 530,557,159.85
  5. Step 5: Solve for x
    x = 530,557,159.85/31,094.16
  6. Step 6: Final answer
    x = 17,062.92

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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.