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Finding the Fourth Proportional to 31,900.36, 47,802.04 and 15,237.45

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Solution

The fourth proportional to 31,900.36, 47,802.04 and 15,237.45 is: 22,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.36 : 47,802.04 = 15,237.45 : x
  2. Step 2: Convert to fraction form
    31,900.36/47,802.04 = 15,237.45/x
  3. Step 3: Cross multiply
    31,900.36x = 47,802.04 × 15,237.45
  4. Step 4: Simplify right side
    31,900.36x = 728,380,955.39
  5. Step 5: Solve for x
    x = 728,380,955.39/31,900.36
  6. Step 6: Final answer
    x = 22,833.00

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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.