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Finding the Fourth Proportional to 31,476.36, 47,214.48 and 9,305.28

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Solution

The fourth proportional to 31,476.36, 47,214.48 and 9,305.28 is: 13,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.36 : 47,214.48 = 9,305.28 : x
  2. Step 2: Convert to fraction form
    31,476.36/47,214.48 = 9,305.28/x
  3. Step 3: Cross multiply
    31,476.36x = 47,214.48 × 9,305.28
  4. Step 4: Simplify right side
    31,476.36x = 439,343,956.45
  5. Step 5: Solve for x
    x = 439,343,956.45/31,476.36
  6. Step 6: Final answer
    x = 13,957.90

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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.