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Finding the Fourth Proportional to 47,690.50, 71,535.75 and 14,858.50

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Solution

The fourth proportional to 47,690.50, 71,535.75 and 14,858.50 is: 22,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,690.50 : 71,535.75 = 14,858.50 : x
  2. Step 2: Convert to fraction form
    47,690.50/71,535.75 = 14,858.50/x
  3. Step 3: Cross multiply
    47,690.50x = 71,535.75 × 14,858.50
  4. Step 4: Simplify right side
    47,690.50x = 1,062,913,941.38
  5. Step 5: Solve for x
    x = 1,062,913,941.38/47,690.50
  6. Step 6: Final answer
    x = 22,287.75

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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.