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Finding the Fourth Proportional to 32,058.99, 48,088.49 and 8,684.82

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Solution

The fourth proportional to 32,058.99, 48,088.49 and 8,684.82 is: 13,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.99 : 48,088.49 = 8,684.82 : x
  2. Step 2: Convert to fraction form
    32,058.99/48,088.49 = 8,684.82/x
  3. Step 3: Cross multiply
    32,058.99x = 48,088.49 × 8,684.82
  4. Step 4: Simplify right side
    32,058.99x = 417,639,836.30
  5. Step 5: Solve for x
    x = 417,639,836.30/32,058.99
  6. Step 6: Final answer
    x = 13,027.23

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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.