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Finding the Fourth Proportional to 73,728.24, 101,746.50 and 41,463.48

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Solution

The fourth proportional to 73,728.24, 101,746.50 and 41,463.48 is: 57,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728.24 : 101,746.50 = 41,463.48 : x
  2. Step 2: Convert to fraction form
    73,728.24/101,746.50 = 41,463.48/x
  3. Step 3: Cross multiply
    73,728.24x = 101,746.50 × 41,463.48
  4. Step 4: Simplify right side
    73,728.24x = 4,218,763,967.82
  5. Step 5: Solve for x
    x = 4,218,763,967.82/73,728.24
  6. Step 6: Final answer
    x = 57,220.46

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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.