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Finding the Fourth Proportional to 51,643.50, 77,478.24 and 14,707.50

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Solution

The fourth proportional to 51,643.50, 77,478.24 and 14,707.50 is: 22,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643.50 : 77,478.24 = 14,707.50 : x
  2. Step 2: Convert to fraction form
    51,643.50/77,478.24 = 14,707.50/x
  3. Step 3: Cross multiply
    51,643.50x = 77,478.24 × 14,707.50
  4. Step 4: Simplify right side
    51,643.50x = 1,139,511,214.80
  5. Step 5: Solve for x
    x = 1,139,511,214.80/51,643.50
  6. Step 6: Final answer
    x = 22,064.95

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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.