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Finding the Fourth Proportional to 31,153.71, 46,707.93 and 12,428.13

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Solution

The fourth proportional to 31,153.71, 46,707.93 and 12,428.13 is: 18,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.71 : 46,707.93 = 12,428.13 : x
  2. Step 2: Convert to fraction form
    31,153.71/46,707.93 = 12,428.13/x
  3. Step 3: Cross multiply
    31,153.71x = 46,707.93 × 12,428.13
  4. Step 4: Simplify right side
    31,153.71x = 580,492,226.07
  5. Step 5: Solve for x
    x = 580,492,226.07/31,153.71
  6. Step 6: Final answer
    x = 18,633.17

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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.