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Finding the Fourth Proportional to 46,677.34, 70,015.89 and 11,617

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Solution

The fourth proportional to 46,677.34, 70,015.89 and 11,617 is: 17,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.34 : 70,015.89 = 11,617 : x
  2. Step 2: Convert to fraction form
    46,677.34/70,015.89 = 11,617/x
  3. Step 3: Cross multiply
    46,677.34x = 70,015.89 × 11,617
  4. Step 4: Simplify right side
    46,677.34x = 813,374,594.13
  5. Step 5: Solve for x
    x = 813,374,594.13/46,677.34
  6. Step 6: Final answer
    x = 17,425.47

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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.