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Finding the Fourth Proportional to 46,736, 70,104.48 and 13,904

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Solution

The fourth proportional to 46,736, 70,104.48 and 13,904 is: 20,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,736 : 70,104.48 = 13,904 : x
  2. Step 2: Convert to fraction form
    46,736/70,104.48 = 13,904/x
  3. Step 3: Cross multiply
    46,736x = 70,104.48 × 13,904
  4. Step 4: Simplify right side
    46,736x = 974,732,689.92
  5. Step 5: Solve for x
    x = 974,732,689.92/46,736
  6. Step 6: Final answer
    x = 20,856.14

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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.