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Finding the Fourth Proportional to 64,002.53, 88,322.87 and 35,322.46

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Solution

The fourth proportional to 64,002.53, 88,322.87 and 35,322.46 is: 48,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002.53 : 88,322.87 = 35,322.46 : x
  2. Step 2: Convert to fraction form
    64,002.53/88,322.87 = 35,322.46/x
  3. Step 3: Cross multiply
    64,002.53x = 88,322.87 × 35,322.46
  4. Step 4: Simplify right side
    64,002.53x = 3,119,781,042.66
  5. Step 5: Solve for x
    x = 3,119,781,042.66/64,002.53
  6. Step 6: Final answer
    x = 48,744.65

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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.