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Finding the Fourth Proportional to 57,357.84, 79,220.06 and 38,206.07

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Solution

The fourth proportional to 57,357.84, 79,220.06 and 38,206.07 is: 52,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357.84 : 79,220.06 = 38,206.07 : x
  2. Step 2: Convert to fraction form
    57,357.84/79,220.06 = 38,206.07/x
  3. Step 3: Cross multiply
    57,357.84x = 79,220.06 × 38,206.07
  4. Step 4: Simplify right side
    57,357.84x = 3,026,687,157.76
  5. Step 5: Solve for x
    x = 3,026,687,157.76/57,357.84
  6. Step 6: Final answer
    x = 52,768.50

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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.