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Finding the Fourth Proportional to 31,774.16, 47,651.96 and 12,038.48

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Solution

The fourth proportional to 31,774.16, 47,651.96 and 12,038.48 is: 18,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.16 : 47,651.96 = 12,038.48 : x
  2. Step 2: Convert to fraction form
    31,774.16/47,651.96 = 12,038.48/x
  3. Step 3: Cross multiply
    31,774.16x = 47,651.96 × 12,038.48
  4. Step 4: Simplify right side
    31,774.16x = 573,657,167.42
  5. Step 5: Solve for x
    x = 573,657,167.42/31,774.16
  6. Step 6: Final answer
    x = 18,054.20

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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.