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Finding the Fourth Proportional to 57,780.84, 79,741.26 and 32,287.28

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Solution

The fourth proportional to 57,780.84, 79,741.26 and 32,287.28 is: 44,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.84 : 79,741.26 = 32,287.28 : x
  2. Step 2: Convert to fraction form
    57,780.84/79,741.26 = 32,287.28/x
  3. Step 3: Cross multiply
    57,780.84x = 79,741.26 × 32,287.28
  4. Step 4: Simplify right side
    57,780.84x = 2,574,628,389.17
  5. Step 5: Solve for x
    x = 2,574,628,389.17/57,780.84
  6. Step 6: Final answer
    x = 44,558.51

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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.