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Finding the Fourth Proportional to 30,886.85, 46,332 and 8,701.97

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Solution

The fourth proportional to 30,886.85, 46,332 and 8,701.97 is: 13,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.85 : 46,332 = 8,701.97 : x
  2. Step 2: Convert to fraction form
    30,886.85/46,332 = 8,701.97/x
  3. Step 3: Cross multiply
    30,886.85x = 46,332 × 8,701.97
  4. Step 4: Simplify right side
    30,886.85x = 403,179,442.38
  5. Step 5: Solve for x
    x = 403,179,442.38/30,886.85
  6. Step 6: Final answer
    x = 13,053.43

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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.