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Finding the Fourth Proportional to 31,094.52, 46,646.82 and 12,374.52

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Solution

The fourth proportional to 31,094.52, 46,646.82 and 12,374.52 is: 18,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.52 : 46,646.82 = 12,374.52 : x
  2. Step 2: Convert to fraction form
    31,094.52/46,646.82 = 12,374.52/x
  3. Step 3: Cross multiply
    31,094.52x = 46,646.82 × 12,374.52
  4. Step 4: Simplify right side
    31,094.52x = 577,232,007.03
  5. Step 5: Solve for x
    x = 577,232,007.03/31,094.52
  6. Step 6: Final answer
    x = 18,563.79

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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.