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Finding the Fourth Proportional to 31,129.84, 46,694.62 and 13,358.98

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Solution

The fourth proportional to 31,129.84, 46,694.62 and 13,358.98 is: 20,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.84 : 46,694.62 = 13,358.98 : x
  2. Step 2: Convert to fraction form
    31,129.84/46,694.62 = 13,358.98/x
  3. Step 3: Cross multiply
    31,129.84x = 46,694.62 × 13,358.98
  4. Step 4: Simplify right side
    31,129.84x = 623,792,194.42
  5. Step 5: Solve for x
    x = 623,792,194.42/31,129.84
  6. Step 6: Final answer
    x = 20,038.40

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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.