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Finding the Fourth Proportional to 31,470.53, 47,194.79 and 9,278.01

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Solution

The fourth proportional to 31,470.53, 47,194.79 and 9,278.01 is: 13,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.53 : 47,194.79 = 9,278.01 : x
  2. Step 2: Convert to fraction form
    31,470.53/47,194.79 = 9,278.01/x
  3. Step 3: Cross multiply
    31,470.53x = 47,194.79 × 9,278.01
  4. Step 4: Simplify right side
    31,470.53x = 437,873,687.18
  5. Step 5: Solve for x
    x = 437,873,687.18/31,470.53
  6. Step 6: Final answer
    x = 13,913.77

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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.