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Finding the Fourth Proportional to 64,001.62, 88,322.49 and 35,708.50

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Solution

The fourth proportional to 64,001.62, 88,322.49 and 35,708.50 is: 49,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,001.62 : 88,322.49 = 35,708.50 : x
  2. Step 2: Convert to fraction form
    64,001.62/88,322.49 = 35,708.50/x
  3. Step 3: Cross multiply
    64,001.62x = 88,322.49 × 35,708.50
  4. Step 4: Simplify right side
    64,001.62x = 3,153,863,634.17
  5. Step 5: Solve for x
    x = 3,153,863,634.17/64,001.62
  6. Step 6: Final answer
    x = 49,277.87

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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.