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Finding the Fourth Proportional to 75,763.66, 104,515.40 and 57,827.52

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Solution

The fourth proportional to 75,763.66, 104,515.40 and 57,827.52 is: 79,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,763.66 : 104,515.40 = 57,827.52 : x
  2. Step 2: Convert to fraction form
    75,763.66/104,515.40 = 57,827.52/x
  3. Step 3: Cross multiply
    75,763.66x = 104,515.40 × 57,827.52
  4. Step 4: Simplify right side
    75,763.66x = 6,043,866,383.81
  5. Step 5: Solve for x
    x = 6,043,866,383.81/75,763.66
  6. Step 6: Final answer
    x = 79,772.63

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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.