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Finding the Fourth Proportional to 64,498.30, 96,784.82 and 27,055.04

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Solution

The fourth proportional to 64,498.30, 96,784.82 and 27,055.04 is: 40,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498.30 : 96,784.82 = 27,055.04 : x
  2. Step 2: Convert to fraction form
    64,498.30/96,784.82 = 27,055.04/x
  3. Step 3: Cross multiply
    64,498.30x = 96,784.82 × 27,055.04
  4. Step 4: Simplify right side
    64,498.30x = 2,618,517,176.49
  5. Step 5: Solve for x
    x = 2,618,517,176.49/64,498.30
  6. Step 6: Final answer
    x = 40,598.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.