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Finding the Fourth Proportional to 52,722.87, 72,750.36 and 31,497.63

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Solution

The fourth proportional to 52,722.87, 72,750.36 and 31,497.63 is: 43,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,722.87 : 72,750.36 = 31,497.63 : x
  2. Step 2: Convert to fraction form
    52,722.87/72,750.36 = 31,497.63/x
  3. Step 3: Cross multiply
    52,722.87x = 72,750.36 × 31,497.63
  4. Step 4: Simplify right side
    52,722.87x = 2,291,463,921.65
  5. Step 5: Solve for x
    x = 2,291,463,921.65/52,722.87
  6. Step 6: Final answer
    x = 43,462.43

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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.