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Finding the Fourth Proportional to 31,565.72, 47,345.34 and 19,843.40

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Solution

The fourth proportional to 31,565.72, 47,345.34 and 19,843.40 is: 29,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.72 : 47,345.34 = 19,843.40 : x
  2. Step 2: Convert to fraction form
    31,565.72/47,345.34 = 19,843.40/x
  3. Step 3: Cross multiply
    31,565.72x = 47,345.34 × 19,843.40
  4. Step 4: Simplify right side
    31,565.72x = 939,492,519.76
  5. Step 5: Solve for x
    x = 939,492,519.76/31,565.72
  6. Step 6: Final answer
    x = 29,763.06

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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.