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Finding the Fourth Proportional to 59,332, 81,878.24 and 36,976

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Solution

The fourth proportional to 59,332, 81,878.24 and 36,976 is: 51,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,332 : 81,878.24 = 36,976 : x
  2. Step 2: Convert to fraction form
    59,332/81,878.24 = 36,976/x
  3. Step 3: Cross multiply
    59,332x = 81,878.24 × 36,976
  4. Step 4: Simplify right side
    59,332x = 3,027,529,802.24
  5. Step 5: Solve for x
    x = 3,027,529,802.24/59,332
  6. Step 6: Final answer
    x = 51,026.93

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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.