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Finding the Fourth Proportional to 31,006.90, 46,510.35 and 18,565.30

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Solution

The fourth proportional to 31,006.90, 46,510.35 and 18,565.30 is: 27,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.90 : 46,510.35 = 18,565.30 : x
  2. Step 2: Convert to fraction form
    31,006.90/46,510.35 = 18,565.30/x
  3. Step 3: Cross multiply
    31,006.90x = 46,510.35 × 18,565.30
  4. Step 4: Simplify right side
    31,006.90x = 863,478,600.86
  5. Step 5: Solve for x
    x = 863,478,600.86/31,006.90
  6. Step 6: Final answer
    x = 27,847.95

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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.