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Finding the Fourth Proportional to 32,160.78, 48,228.84 and 11,108.16

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Solution

The fourth proportional to 32,160.78, 48,228.84 and 11,108.16 is: 16,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.78 : 48,228.84 = 11,108.16 : x
  2. Step 2: Convert to fraction form
    32,160.78/48,228.84 = 11,108.16/x
  3. Step 3: Cross multiply
    32,160.78x = 48,228.84 × 11,108.16
  4. Step 4: Simplify right side
    32,160.78x = 535,733,671.33
  5. Step 5: Solve for x
    x = 535,733,671.33/32,160.78
  6. Step 6: Final answer
    x = 16,657.98

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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.