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Finding the Fourth Proportional to 32,029.48, 48,046.74 and 8,655.58

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Solution

The fourth proportional to 32,029.48, 48,046.74 and 8,655.58 is: 12,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.48 : 48,046.74 = 8,655.58 : x
  2. Step 2: Convert to fraction form
    32,029.48/48,046.74 = 8,655.58/x
  3. Step 3: Cross multiply
    32,029.48x = 48,046.74 × 8,655.58
  4. Step 4: Simplify right side
    32,029.48x = 415,872,401.81
  5. Step 5: Solve for x
    x = 415,872,401.81/32,029.48
  6. Step 6: Final answer
    x = 12,984.05

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1.5x scale

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.