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Finding the Fourth Proportional to 64,105.24, 88,465.88 and 35,807.64

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Solution

The fourth proportional to 64,105.24, 88,465.88 and 35,807.64 is: 49,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,105.24 : 88,465.88 = 35,807.64 : x
  2. Step 2: Convert to fraction form
    64,105.24/88,465.88 = 35,807.64/x
  3. Step 3: Cross multiply
    64,105.24x = 88,465.88 × 35,807.64
  4. Step 4: Simplify right side
    64,105.24x = 3,167,754,383.32
  5. Step 5: Solve for x
    x = 3,167,754,383.32/64,105.24
  6. Step 6: Final answer
    x = 49,414.91

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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.