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Finding the Fourth Proportional to 31,203.44, 46,795.92 and 9,017.02

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Solution

The fourth proportional to 31,203.44, 46,795.92 and 9,017.02 is: 13,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.44 : 46,795.92 = 9,017.02 : x
  2. Step 2: Convert to fraction form
    31,203.44/46,795.92 = 9,017.02/x
  3. Step 3: Cross multiply
    31,203.44x = 46,795.92 × 9,017.02
  4. Step 4: Simplify right side
    31,203.44x = 421,959,746.56
  5. Step 5: Solve for x
    x = 421,959,746.56/31,203.44
  6. Step 6: Final answer
    x = 13,522.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.