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Finding the Fourth Proportional to 59,703.14, 82,391.02 and 34,209

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Solution

The fourth proportional to 59,703.14, 82,391.02 and 34,209 is: 47,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,703.14 : 82,391.02 = 34,209 : x
  2. Step 2: Convert to fraction form
    59,703.14/82,391.02 = 34,209/x
  3. Step 3: Cross multiply
    59,703.14x = 82,391.02 × 34,209
  4. Step 4: Simplify right side
    59,703.14x = 2,818,514,403.18
  5. Step 5: Solve for x
    x = 2,818,514,403.18/59,703.14
  6. Step 6: Final answer
    x = 47,208.81

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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.