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Finding the Fourth Proportional to 31,777.34, 47,607.92 and 14,879.35

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Solution

The fourth proportional to 31,777.34, 47,607.92 and 14,879.35 is: 22,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.34 : 47,607.92 = 14,879.35 : x
  2. Step 2: Convert to fraction form
    31,777.34/47,607.92 = 14,879.35/x
  3. Step 3: Cross multiply
    31,777.34x = 47,607.92 × 14,879.35
  4. Step 4: Simplify right side
    31,777.34x = 708,374,592.02
  5. Step 5: Solve for x
    x = 708,374,592.02/31,777.34
  6. Step 6: Final answer
    x = 22,291.82

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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.