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Finding the Fourth Proportional to 46,677.47, 70,016.22 and 11,617.13

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Solution

The fourth proportional to 46,677.47, 70,016.22 and 11,617.13 is: 17,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.47 : 70,016.22 = 11,617.13 : x
  2. Step 2: Convert to fraction form
    46,677.47/70,016.22 = 11,617.13/x
  3. Step 3: Cross multiply
    46,677.47x = 70,016.22 × 11,617.13
  4. Step 4: Simplify right side
    46,677.47x = 813,387,529.85
  5. Step 5: Solve for x
    x = 813,387,529.85/46,677.47
  6. Step 6: Final answer
    x = 17,425.70

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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.