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Finding the Fourth Proportional to 46,952.40, 70,451.20 and 29,178.24

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Solution

The fourth proportional to 46,952.40, 70,451.20 and 29,178.24 is: 43,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.40 : 70,451.20 = 29,178.24 : x
  2. Step 2: Convert to fraction form
    46,952.40/70,451.20 = 29,178.24/x
  3. Step 3: Cross multiply
    46,952.40x = 70,451.20 × 29,178.24
  4. Step 4: Simplify right side
    46,952.40x = 2,055,642,021.89
  5. Step 5: Solve for x
    x = 2,055,642,021.89/46,952.40
  6. Step 6: Final answer
    x = 43,781.40

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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.