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Finding the Fourth Proportional to 58,858, 81,224.04 and 32,362

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Solution

The fourth proportional to 58,858, 81,224.04 and 32,362 is: 44,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,858 : 81,224.04 = 32,362 : x
  2. Step 2: Convert to fraction form
    58,858/81,224.04 = 32,362/x
  3. Step 3: Cross multiply
    58,858x = 81,224.04 × 32,362
  4. Step 4: Simplify right side
    58,858x = 2,628,572,382.48
  5. Step 5: Solve for x
    x = 2,628,572,382.48/58,858
  6. Step 6: Final answer
    x = 44,659.56

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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.