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Finding the Fourth Proportional to 49,844.66, 74,766.98 and 14,784

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Solution

The fourth proportional to 49,844.66, 74,766.98 and 14,784 is: 22,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,844.66 : 74,766.98 = 14,784 : x
  2. Step 2: Convert to fraction form
    49,844.66/74,766.98 = 14,784/x
  3. Step 3: Cross multiply
    49,844.66x = 74,766.98 × 14,784
  4. Step 4: Simplify right side
    49,844.66x = 1,105,354,958.40
  5. Step 5: Solve for x
    x = 1,105,354,958.40/49,844.66
  6. Step 6: Final answer
    x = 22,176.00

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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.