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Finding the Fourth Proportional to 56,082.78, 84,041.06 and 22,762.31

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Solution

The fourth proportional to 56,082.78, 84,041.06 and 22,762.31 is: 34,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082.78 : 84,041.06 = 22,762.31 : x
  2. Step 2: Convert to fraction form
    56,082.78/84,041.06 = 22,762.31/x
  3. Step 3: Cross multiply
    56,082.78x = 84,041.06 × 22,762.31
  4. Step 4: Simplify right side
    56,082.78x = 1,912,968,126.43
  5. Step 5: Solve for x
    x = 1,912,968,126.43/56,082.78
  6. Step 6: Final answer
    x = 34,109.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.