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Finding the Fourth Proportional to 54,364.50, 75,023.16 and 31,719.06

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Solution

The fourth proportional to 54,364.50, 75,023.16 and 31,719.06 is: 43,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,364.50 : 75,023.16 = 31,719.06 : x
  2. Step 2: Convert to fraction form
    54,364.50/75,023.16 = 31,719.06/x
  3. Step 3: Cross multiply
    54,364.50x = 75,023.16 × 31,719.06
  4. Step 4: Simplify right side
    54,364.50x = 2,379,664,113.43
  5. Step 5: Solve for x
    x = 2,379,664,113.43/54,364.50
  6. Step 6: Final answer
    x = 43,772.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.