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Finding the Fourth Proportional to 31,258.35, 46,885.89 and 7,884.99

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Solution

The fourth proportional to 31,258.35, 46,885.89 and 7,884.99 is: 11,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,258.35 : 46,885.89 = 7,884.99 : x
  2. Step 2: Convert to fraction form
    31,258.35/46,885.89 = 7,884.99/x
  3. Step 3: Cross multiply
    31,258.35x = 46,885.89 × 7,884.99
  4. Step 4: Simplify right side
    31,258.35x = 369,694,773.79
  5. Step 5: Solve for x
    x = 369,694,773.79/31,258.35
  6. Step 6: Final answer
    x = 11,827.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.