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Finding the Fourth Proportional to 31,901.28, 47,838.08 and 9,709.48

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Solution

The fourth proportional to 31,901.28, 47,838.08 and 9,709.48 is: 14,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.28 : 47,838.08 = 9,709.48 : x
  2. Step 2: Convert to fraction form
    31,901.28/47,838.08 = 9,709.48/x
  3. Step 3: Cross multiply
    31,901.28x = 47,838.08 × 9,709.48
  4. Step 4: Simplify right side
    31,901.28x = 464,482,881.00
  5. Step 5: Solve for x
    x = 464,482,881.00/31,901.28
  6. Step 6: Final answer
    x = 14,560.01

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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.