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Finding the Fourth Proportional to 31,261.70, 46,892.34 and 7,888.16

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Solution

The fourth proportional to 31,261.70, 46,892.34 and 7,888.16 is: 11,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.70 : 46,892.34 = 7,888.16 : x
  2. Step 2: Convert to fraction form
    31,261.70/46,892.34 = 7,888.16/x
  3. Step 3: Cross multiply
    31,261.70x = 46,892.34 × 7,888.16
  4. Step 4: Simplify right side
    31,261.70x = 369,894,046.23
  5. Step 5: Solve for x
    x = 369,894,046.23/31,261.70
  6. Step 6: Final answer
    x = 11,832.18

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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.