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Finding the Fourth Proportional to 69,031.77, 103,624.51 and 35,742.89

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Solution

The fourth proportional to 69,031.77, 103,624.51 and 35,742.89 is: 53,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,031.77 : 103,624.51 = 35,742.89 : x
  2. Step 2: Convert to fraction form
    69,031.77/103,624.51 = 35,742.89/x
  3. Step 3: Cross multiply
    69,031.77x = 103,624.51 × 35,742.89
  4. Step 4: Simplify right side
    69,031.77x = 3,703,839,462.23
  5. Step 5: Solve for x
    x = 3,703,839,462.23/69,031.77
  6. Step 6: Final answer
    x = 53,654.13

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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.