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Finding the Fourth Proportional to 35,471.20, 53,206.80 and 29,768.80

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Solution

The fourth proportional to 35,471.20, 53,206.80 and 29,768.80 is: 44,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471.20 : 53,206.80 = 29,768.80 : x
  2. Step 2: Convert to fraction form
    35,471.20/53,206.80 = 29,768.80/x
  3. Step 3: Cross multiply
    35,471.20x = 53,206.80 × 29,768.80
  4. Step 4: Simplify right side
    35,471.20x = 1,583,902,587.84
  5. Step 5: Solve for x
    x = 1,583,902,587.84/35,471.20
  6. Step 6: Final answer
    x = 44,653.20

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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.