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Finding the Fourth Proportional to 31,777.27, 47,666.22 and 9,590.83

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Solution

The fourth proportional to 31,777.27, 47,666.22 and 9,590.83 is: 14,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.27 : 47,666.22 = 9,590.83 : x
  2. Step 2: Convert to fraction form
    31,777.27/47,666.22 = 9,590.83/x
  3. Step 3: Cross multiply
    31,777.27x = 47,666.22 × 9,590.83
  4. Step 4: Simplify right side
    31,777.27x = 457,158,612.76
  5. Step 5: Solve for x
    x = 457,158,612.76/31,777.27
  6. Step 6: Final answer
    x = 14,386.34

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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.