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Finding the Fourth Proportional to 46,678.24, 70,017 and 11,617.66

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Solution

The fourth proportional to 46,678.24, 70,017 and 11,617.66 is: 17,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678.24 : 70,017 = 11,617.66 : x
  2. Step 2: Convert to fraction form
    46,678.24/70,017 = 11,617.66/x
  3. Step 3: Cross multiply
    46,678.24x = 70,017 × 11,617.66
  4. Step 4: Simplify right side
    46,678.24x = 813,433,700.22
  5. Step 5: Solve for x
    x = 813,433,700.22/46,678.24
  6. Step 6: Final answer
    x = 17,426.40

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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.