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Finding the Fourth Proportional to 31,524.63, 47,293.86 and 9,339.74

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Solution

The fourth proportional to 31,524.63, 47,293.86 and 9,339.74 is: 14,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.63 : 47,293.86 = 9,339.74 : x
  2. Step 2: Convert to fraction form
    31,524.63/47,293.86 = 9,339.74/x
  3. Step 3: Cross multiply
    31,524.63x = 47,293.86 × 9,339.74
  4. Step 4: Simplify right side
    31,524.63x = 441,712,356.00
  5. Step 5: Solve for x
    x = 441,712,356.00/31,524.63
  6. Step 6: Final answer
    x = 14,011.66

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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.