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Finding the Fourth Proportional to 31,185.65, 46,803.07 and 14,537.11

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Solution

The fourth proportional to 31,185.65, 46,803.07 and 14,537.11 is: 21,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.65 : 46,803.07 = 14,537.11 : x
  2. Step 2: Convert to fraction form
    31,185.65/46,803.07 = 14,537.11/x
  3. Step 3: Cross multiply
    31,185.65x = 46,803.07 × 14,537.11
  4. Step 4: Simplify right side
    31,185.65x = 680,381,376.93
  5. Step 5: Solve for x
    x = 680,381,376.93/31,185.65
  6. Step 6: Final answer
    x = 21,817.13

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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.