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Finding the Fourth Proportional to 32,300.43, 48,451.02 and 8,607.84

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Solution

The fourth proportional to 32,300.43, 48,451.02 and 8,607.84 is: 12,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300.43 : 48,451.02 = 8,607.84 : x
  2. Step 2: Convert to fraction form
    32,300.43/48,451.02 = 8,607.84/x
  3. Step 3: Cross multiply
    32,300.43x = 48,451.02 × 8,607.84
  4. Step 4: Simplify right side
    32,300.43x = 417,058,628.00
  5. Step 5: Solve for x
    x = 417,058,628.00/32,300.43
  6. Step 6: Final answer
    x = 12,911.86

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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.