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Finding the Fourth Proportional to 31,406.01, 47,116.30 and 10,345.30

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Solution

The fourth proportional to 31,406.01, 47,116.30 and 10,345.30 is: 15,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.01 : 47,116.30 = 10,345.30 : x
  2. Step 2: Convert to fraction form
    31,406.01/47,116.30 = 10,345.30/x
  3. Step 3: Cross multiply
    31,406.01x = 47,116.30 × 10,345.30
  4. Step 4: Simplify right side
    31,406.01x = 487,432,134.13
  5. Step 5: Solve for x
    x = 487,432,134.13/31,406.01
  6. Step 6: Final answer
    x = 15,520.34

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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.