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Finding the Fourth Proportional to 59,315, 81,854.70 and 36,959

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Solution

The fourth proportional to 59,315, 81,854.70 and 36,959 is: 51,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,315 : 81,854.70 = 36,959 : x
  2. Step 2: Convert to fraction form
    59,315/81,854.70 = 36,959/x
  3. Step 3: Cross multiply
    59,315x = 81,854.70 × 36,959
  4. Step 4: Simplify right side
    59,315x = 3,025,267,857.30
  5. Step 5: Solve for x
    x = 3,025,267,857.30/59,315
  6. Step 6: Final answer
    x = 51,003.42

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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.