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Finding the Fourth Proportional to 30,574, 45,868.68 and 8,686

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Solution

The fourth proportional to 30,574, 45,868.68 and 8,686 is: 13,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574 : 45,868.68 = 8,686 : x
  2. Step 2: Convert to fraction form
    30,574/45,868.68 = 8,686/x
  3. Step 3: Cross multiply
    30,574x = 45,868.68 × 8,686
  4. Step 4: Simplify right side
    30,574x = 398,415,354.48
  5. Step 5: Solve for x
    x = 398,415,354.48/30,574
  6. Step 6: Final answer
    x = 13,031.18

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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.