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Finding the Fourth Proportional to 31,957.64, 47,936.45 and 9,771.01

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Solution

The fourth proportional to 31,957.64, 47,936.45 and 9,771.01 is: 14,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.64 : 47,936.45 = 9,771.01 : x
  2. Step 2: Convert to fraction form
    31,957.64/47,936.45 = 9,771.01/x
  3. Step 3: Cross multiply
    31,957.64x = 47,936.45 × 9,771.01
  4. Step 4: Simplify right side
    31,957.64x = 468,387,532.31
  5. Step 5: Solve for x
    x = 468,387,532.31/31,957.64
  6. Step 6: Final answer
    x = 14,656.51

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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.