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Finding the Fourth Proportional to 58,802, 81,146.76 and 32,306

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Solution

The fourth proportional to 58,802, 81,146.76 and 32,306 is: 44,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,802 : 81,146.76 = 32,306 : x
  2. Step 2: Convert to fraction form
    58,802/81,146.76 = 32,306/x
  3. Step 3: Cross multiply
    58,802x = 81,146.76 × 32,306
  4. Step 4: Simplify right side
    58,802x = 2,621,527,228.56
  5. Step 5: Solve for x
    x = 2,621,527,228.56/58,802
  6. Step 6: Final answer
    x = 44,582.28

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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.