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Finding the Fourth Proportional to 46,969.48, 70,433.74 and 17,765

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Solution

The fourth proportional to 46,969.48, 70,433.74 and 17,765 is: 26,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.48 : 70,433.74 = 17,765 : x
  2. Step 2: Convert to fraction form
    46,969.48/70,433.74 = 17,765/x
  3. Step 3: Cross multiply
    46,969.48x = 70,433.74 × 17,765
  4. Step 4: Simplify right side
    46,969.48x = 1,251,255,391.10
  5. Step 5: Solve for x
    x = 1,251,255,391.10/46,969.48
  6. Step 6: Final answer
    x = 26,639.75

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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.