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Finding the Fourth Proportional to 59,838.54, 82,570.50 and 34,338.12

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Solution

The fourth proportional to 59,838.54, 82,570.50 and 34,338.12 is: 47,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,838.54 : 82,570.50 = 34,338.12 : x
  2. Step 2: Convert to fraction form
    59,838.54/82,570.50 = 34,338.12/x
  3. Step 3: Cross multiply
    59,838.54x = 82,570.50 × 34,338.12
  4. Step 4: Simplify right side
    59,838.54x = 2,835,315,737.46
  5. Step 5: Solve for x
    x = 2,835,315,737.46/59,838.54
  6. Step 6: Final answer
    x = 47,382.77

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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.