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Finding the Fourth Proportional to 31,194.42, 46,784.76 and 9,003

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Solution

The fourth proportional to 31,194.42, 46,784.76 and 9,003 is: 13,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.42 : 46,784.76 = 9,003 : x
  2. Step 2: Convert to fraction form
    31,194.42/46,784.76 = 9,003/x
  3. Step 3: Cross multiply
    31,194.42x = 46,784.76 × 9,003
  4. Step 4: Simplify right side
    31,194.42x = 421,203,194.28
  5. Step 5: Solve for x
    x = 421,203,194.28/31,194.42
  6. Step 6: Final answer
    x = 13,502.52

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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.