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Finding the Fourth Proportional to 49,646.61, 74,475.39 and 14,589

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Solution

The fourth proportional to 49,646.61, 74,475.39 and 14,589 is: 21,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,646.61 : 74,475.39 = 14,589 : x
  2. Step 2: Convert to fraction form
    49,646.61/74,475.39 = 14,589/x
  3. Step 3: Cross multiply
    49,646.61x = 74,475.39 × 14,589
  4. Step 4: Simplify right side
    49,646.61x = 1,086,521,464.71
  5. Step 5: Solve for x
    x = 1,086,521,464.71/49,646.61
  6. Step 6: Final answer
    x = 21,885.11

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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.