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Finding the Fourth Proportional to 46,677.28, 69,993.18 and 15,502

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Solution

The fourth proportional to 46,677.28, 69,993.18 and 15,502 is: 23,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.28 : 69,993.18 = 15,502 : x
  2. Step 2: Convert to fraction form
    46,677.28/69,993.18 = 15,502/x
  3. Step 3: Cross multiply
    46,677.28x = 69,993.18 × 15,502
  4. Step 4: Simplify right side
    46,677.28x = 1,085,034,276.36
  5. Step 5: Solve for x
    x = 1,085,034,276.36/46,677.28
  6. Step 6: Final answer
    x = 23,245.45

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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.