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Finding the Fourth Proportional to 48,038.20, 72,014.10 and 31,406.20

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Solution

The fourth proportional to 48,038.20, 72,014.10 and 31,406.20 is: 47,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,038.20 : 72,014.10 = 31,406.20 : x
  2. Step 2: Convert to fraction form
    48,038.20/72,014.10 = 31,406.20/x
  3. Step 3: Cross multiply
    48,038.20x = 72,014.10 × 31,406.20
  4. Step 4: Simplify right side
    48,038.20x = 2,261,689,227.42
  5. Step 5: Solve for x
    x = 2,261,689,227.42/48,038.20
  6. Step 6: Final answer
    x = 47,081.06

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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.