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Finding the Fourth Proportional to 31,298.43, 46,955.34 and 9,112

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Solution

The fourth proportional to 31,298.43, 46,955.34 and 9,112 is: 13,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.43 : 46,955.34 = 9,112 : x
  2. Step 2: Convert to fraction form
    31,298.43/46,955.34 = 9,112/x
  3. Step 3: Cross multiply
    31,298.43x = 46,955.34 × 9,112
  4. Step 4: Simplify right side
    31,298.43x = 427,857,058.08
  5. Step 5: Solve for x
    x = 427,857,058.08/31,298.43
  6. Step 6: Final answer
    x = 13,670.24

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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.