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Finding the Fourth Proportional to 31,142.84, 46,686.49 and 11,416.79

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Solution

The fourth proportional to 31,142.84, 46,686.49 and 11,416.79 is: 17,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.84 : 46,686.49 = 11,416.79 : x
  2. Step 2: Convert to fraction form
    31,142.84/46,686.49 = 11,416.79/x
  3. Step 3: Cross multiply
    31,142.84x = 46,686.49 × 11,416.79
  4. Step 4: Simplify right side
    31,142.84x = 533,009,940.34
  5. Step 5: Solve for x
    x = 533,009,940.34/31,142.84
  6. Step 6: Final answer
    x = 17,115.01

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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.