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Finding the Fourth Proportional to 73,952.31, 102,054.19 and 40,418.31

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Solution

The fourth proportional to 73,952.31, 102,054.19 and 40,418.31 is: 55,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,952.31 : 102,054.19 = 40,418.31 : x
  2. Step 2: Convert to fraction form
    73,952.31/102,054.19 = 40,418.31/x
  3. Step 3: Cross multiply
    73,952.31x = 102,054.19 × 40,418.31
  4. Step 4: Simplify right side
    73,952.31x = 4,124,857,888.22
  5. Step 5: Solve for x
    x = 4,124,857,888.22/73,952.31
  6. Step 6: Final answer
    x = 55,777.27

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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.