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Finding the Fourth Proportional to 117,824, 162,598.40 and 64,832

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Solution

The fourth proportional to 117,824, 162,598.40 and 64,832 is: 89,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,824 : 162,598.40 = 64,832 : x
  2. Step 2: Convert to fraction form
    117,824/162,598.40 = 64,832/x
  3. Step 3: Cross multiply
    117,824x = 162,598.40 × 64,832
  4. Step 4: Simplify right side
    117,824x = 10,541,579,468.80
  5. Step 5: Solve for x
    x = 10,541,579,468.80/117,824
  6. Step 6: Final answer
    x = 89,468.86

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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.