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Finding the Fourth Proportional to 58,824, 81,177.12 and 32,328

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Solution

The fourth proportional to 58,824, 81,177.12 and 32,328 is: 44,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,824 : 81,177.12 = 32,328 : x
  2. Step 2: Convert to fraction form
    58,824/81,177.12 = 32,328/x
  3. Step 3: Cross multiply
    58,824x = 81,177.12 × 32,328
  4. Step 4: Simplify right side
    58,824x = 2,624,293,935.36
  5. Step 5: Solve for x
    x = 2,624,293,935.36/58,824
  6. Step 6: Final answer
    x = 44,612.64

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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.