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Finding the Fourth Proportional to 42,711.72, 64,023 and 14,623.50

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Solution

The fourth proportional to 42,711.72, 64,023 and 14,623.50 is: 21,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,711.72 : 64,023 = 14,623.50 : x
  2. Step 2: Convert to fraction form
    42,711.72/64,023 = 14,623.50/x
  3. Step 3: Cross multiply
    42,711.72x = 64,023 × 14,623.50
  4. Step 4: Simplify right side
    42,711.72x = 936,240,340.50
  5. Step 5: Solve for x
    x = 936,240,340.50/42,711.72
  6. Step 6: Final answer
    x = 21,919.99

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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.