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Finding the Fourth Proportional to 59,574.20, 82,214.32 and 34,423.70

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Solution

The fourth proportional to 59,574.20, 82,214.32 and 34,423.70 is: 47,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,574.20 : 82,214.32 = 34,423.70 : x
  2. Step 2: Convert to fraction form
    59,574.20/82,214.32 = 34,423.70/x
  3. Step 3: Cross multiply
    59,574.20x = 82,214.32 × 34,423.70
  4. Step 4: Simplify right side
    59,574.20x = 2,830,121,087.38
  5. Step 5: Solve for x
    x = 2,830,121,087.38/59,574.20
  6. Step 6: Final answer
    x = 47,505.82

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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.