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Finding the Fourth Proportional to 31,164.66, 46,712.36 and 23,744.66

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Solution

The fourth proportional to 31,164.66, 46,712.36 and 23,744.66 is: 35,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.66 : 46,712.36 = 23,744.66 : x
  2. Step 2: Convert to fraction form
    31,164.66/46,712.36 = 23,744.66/x
  3. Step 3: Cross multiply
    31,164.66x = 46,712.36 × 23,744.66
  4. Step 4: Simplify right side
    31,164.66x = 1,109,168,931.80
  5. Step 5: Solve for x
    x = 1,109,168,931.80/31,164.66
  6. Step 6: Final answer
    x = 35,590.60

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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.