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Finding the Fourth Proportional to 31,184.34, 46,792.16 and 14,545.68

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Solution

The fourth proportional to 31,184.34, 46,792.16 and 14,545.68 is: 21,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.34 : 46,792.16 = 14,545.68 : x
  2. Step 2: Convert to fraction form
    31,184.34/46,792.16 = 14,545.68/x
  3. Step 3: Cross multiply
    31,184.34x = 46,792.16 × 14,545.68
  4. Step 4: Simplify right side
    31,184.34x = 680,623,713.14
  5. Step 5: Solve for x
    x = 680,623,713.14/31,184.34
  6. Step 6: Final answer
    x = 21,825.82

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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.