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Finding the Fourth Proportional to 31,228.53, 46,848.95 and 9,042.09

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Solution

The fourth proportional to 31,228.53, 46,848.95 and 9,042.09 is: 13,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.53 : 46,848.95 = 9,042.09 : x
  2. Step 2: Convert to fraction form
    31,228.53/46,848.95 = 9,042.09/x
  3. Step 3: Cross multiply
    31,228.53x = 46,848.95 × 9,042.09
  4. Step 4: Simplify right side
    31,228.53x = 423,612,422.31
  5. Step 5: Solve for x
    x = 423,612,422.31/31,228.53
  6. Step 6: Final answer
    x = 13,564.92

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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.