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Finding the Fourth Proportional to 31,502.83, 47,253.22 and 12,782.41

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Solution

The fourth proportional to 31,502.83, 47,253.22 and 12,782.41 is: 19,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.83 : 47,253.22 = 12,782.41 : x
  2. Step 2: Convert to fraction form
    31,502.83/47,253.22 = 12,782.41/x
  3. Step 3: Cross multiply
    31,502.83x = 47,253.22 × 12,782.41
  4. Step 4: Simplify right side
    31,502.83x = 604,010,031.86
  5. Step 5: Solve for x
    x = 604,010,031.86/31,502.83
  6. Step 6: Final answer
    x = 19,173.20

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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.