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Finding the Fourth Proportional to 64,057.36, 88,406.66 and 37,201

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Solution

The fourth proportional to 64,057.36, 88,406.66 and 37,201 is: 51,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,057.36 : 88,406.66 = 37,201 : x
  2. Step 2: Convert to fraction form
    64,057.36/88,406.66 = 37,201/x
  3. Step 3: Cross multiply
    64,057.36x = 88,406.66 × 37,201
  4. Step 4: Simplify right side
    64,057.36x = 3,288,816,158.66
  5. Step 5: Solve for x
    x = 3,288,816,158.66/64,057.36
  6. Step 6: Final answer
    x = 51,341.74

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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.