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Finding the Fourth Proportional to 32,058.10, 48,086.88 and 8,684.38

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Solution

The fourth proportional to 32,058.10, 48,086.88 and 8,684.38 is: 13,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.10 : 48,086.88 = 8,684.38 : x
  2. Step 2: Convert to fraction form
    32,058.10/48,086.88 = 8,684.38/x
  3. Step 3: Cross multiply
    32,058.10x = 48,086.88 × 8,684.38
  4. Step 4: Simplify right side
    32,058.10x = 417,604,738.93
  5. Step 5: Solve for x
    x = 417,604,738.93/32,058.10
  6. Step 6: Final answer
    x = 13,026.50

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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.