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Finding the Fourth Proportional to 31,373.94, 47,060.64 and 7,681.56

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Solution

The fourth proportional to 31,373.94, 47,060.64 and 7,681.56 is: 11,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.94 : 47,060.64 = 7,681.56 : x
  2. Step 2: Convert to fraction form
    31,373.94/47,060.64 = 7,681.56/x
  3. Step 3: Cross multiply
    31,373.94x = 47,060.64 × 7,681.56
  4. Step 4: Simplify right side
    31,373.94x = 361,499,129.80
  5. Step 5: Solve for x
    x = 361,499,129.80/31,373.94
  6. Step 6: Final answer
    x = 11,522.27

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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.