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Finding the Fourth Proportional to 31,212, 46,823.04 and 10,440.36

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Solution

The fourth proportional to 31,212, 46,823.04 and 10,440.36 is: 15,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212 : 46,823.04 = 10,440.36 : x
  2. Step 2: Convert to fraction form
    31,212/46,823.04 = 10,440.36/x
  3. Step 3: Cross multiply
    31,212x = 46,823.04 × 10,440.36
  4. Step 4: Simplify right side
    31,212x = 488,849,393.89
  5. Step 5: Solve for x
    x = 488,849,393.89/31,212
  6. Step 6: Final answer
    x = 15,662.23

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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.