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Finding the Fourth Proportional to 32,064, 48,090.06 and 8,687.40

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Solution

The fourth proportional to 32,064, 48,090.06 and 8,687.40 is: 13,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064 : 48,090.06 = 8,687.40 : x
  2. Step 2: Convert to fraction form
    32,064/48,090.06 = 8,687.40/x
  3. Step 3: Cross multiply
    32,064x = 48,090.06 × 8,687.40
  4. Step 4: Simplify right side
    32,064x = 417,777,587.24
  5. Step 5: Solve for x
    x = 417,777,587.24/32,064
  6. Step 6: Final answer
    x = 13,029.49

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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.