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Finding the Fourth Proportional to 55,890, 77,082.12 and 33,518.16

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Solution

The fourth proportional to 55,890, 77,082.12 and 33,518.16 is: 46,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,890 : 77,082.12 = 33,518.16 : x
  2. Step 2: Convert to fraction form
    55,890/77,082.12 = 33,518.16/x
  3. Step 3: Cross multiply
    55,890x = 77,082.12 × 33,518.16
  4. Step 4: Simplify right side
    55,890x = 2,583,650,831.30
  5. Step 5: Solve for x
    x = 2,583,650,831.30/55,890
  6. Step 6: Final answer
    x = 46,227.43

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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.