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Finding the Fourth Proportional to 59,777.88, 82,465.76 and 38,564

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Solution

The fourth proportional to 59,777.88, 82,465.76 and 38,564 is: 53,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,777.88 : 82,465.76 = 38,564 : x
  2. Step 2: Convert to fraction form
    59,777.88/82,465.76 = 38,564/x
  3. Step 3: Cross multiply
    59,777.88x = 82,465.76 × 38,564
  4. Step 4: Simplify right side
    59,777.88x = 3,180,209,568.64
  5. Step 5: Solve for x
    x = 3,180,209,568.64/59,777.88
  6. Step 6: Final answer
    x = 53,200.44

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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.