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Finding the Fourth Proportional to 52,506.72, 72,459.36 and 30,997.44

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Solution

The fourth proportional to 52,506.72, 72,459.36 and 30,997.44 is: 42,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.72 : 72,459.36 = 30,997.44 : x
  2. Step 2: Convert to fraction form
    52,506.72/72,459.36 = 30,997.44/x
  3. Step 3: Cross multiply
    52,506.72x = 72,459.36 × 30,997.44
  4. Step 4: Simplify right side
    52,506.72x = 2,246,054,664.04
  5. Step 5: Solve for x
    x = 2,246,054,664.04/52,506.72
  6. Step 6: Final answer
    x = 42,776.52

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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.