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Finding the Fourth Proportional to 31,234.53, 46,872.53 and 14,595.84

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Solution

The fourth proportional to 31,234.53, 46,872.53 and 14,595.84 is: 21,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.53 : 46,872.53 = 14,595.84 : x
  2. Step 2: Convert to fraction form
    31,234.53/46,872.53 = 14,595.84/x
  3. Step 3: Cross multiply
    31,234.53x = 46,872.53 × 14,595.84
  4. Step 4: Simplify right side
    31,234.53x = 684,143,948.28
  5. Step 5: Solve for x
    x = 684,143,948.28/31,234.53
  6. Step 6: Final answer
    x = 21,903.45

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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.