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Finding the Fourth Proportional to 57,776.84, 79,735.74 and 32,283.28

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Solution

The fourth proportional to 57,776.84, 79,735.74 and 32,283.28 is: 44,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776.84 : 79,735.74 = 32,283.28 : x
  2. Step 2: Convert to fraction form
    57,776.84/79,735.74 = 32,283.28/x
  3. Step 3: Cross multiply
    57,776.84x = 79,735.74 × 32,283.28
  4. Step 4: Simplify right side
    57,776.84x = 2,574,130,932.11
  5. Step 5: Solve for x
    x = 2,574,130,932.11/57,776.84
  6. Step 6: Final answer
    x = 44,552.99

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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.