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Finding the Fourth Proportional to 31,095.76, 46,643.62 and 11,363.55

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Solution

The fourth proportional to 31,095.76, 46,643.62 and 11,363.55 is: 17,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.76 : 46,643.62 = 11,363.55 : x
  2. Step 2: Convert to fraction form
    31,095.76/46,643.62 = 11,363.55/x
  3. Step 3: Cross multiply
    31,095.76x = 46,643.62 × 11,363.55
  4. Step 4: Simplify right side
    31,095.76x = 530,037,108.05
  5. Step 5: Solve for x
    x = 530,037,108.05/31,095.76
  6. Step 6: Final answer
    x = 17,045.32

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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.