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Finding the Fourth Proportional to 31,230.69, 46,864.35 and 11,522.98

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Solution

The fourth proportional to 31,230.69, 46,864.35 and 11,522.98 is: 17,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.69 : 46,864.35 = 11,522.98 : x
  2. Step 2: Convert to fraction form
    31,230.69/46,864.35 = 11,522.98/x
  3. Step 3: Cross multiply
    31,230.69x = 46,864.35 × 11,522.98
  4. Step 4: Simplify right side
    31,230.69x = 540,016,967.76
  5. Step 5: Solve for x
    x = 540,016,967.76/31,230.69
  6. Step 6: Final answer
    x = 17,291.23

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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.