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Finding the Fourth Proportional to 59,819.66, 82,483.71 and 38,281.22

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Solution

The fourth proportional to 59,819.66, 82,483.71 and 38,281.22 is: 52,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,819.66 : 82,483.71 = 38,281.22 : x
  2. Step 2: Convert to fraction form
    59,819.66/82,483.71 = 38,281.22/x
  3. Step 3: Cross multiply
    59,819.66x = 82,483.71 × 38,281.22
  4. Step 4: Simplify right side
    59,819.66x = 3,157,577,048.93
  5. Step 5: Solve for x
    x = 3,157,577,048.93/59,819.66
  6. Step 6: Final answer
    x = 52,784.94

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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.