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Finding the Fourth Proportional to 32,064.92, 48,102.64 and 9,877.80

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Solution

The fourth proportional to 32,064.92, 48,102.64 and 9,877.80 is: 14,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.92 : 48,102.64 = 9,877.80 : x
  2. Step 2: Convert to fraction form
    32,064.92/48,102.64 = 9,877.80/x
  3. Step 3: Cross multiply
    32,064.92x = 48,102.64 × 9,877.80
  4. Step 4: Simplify right side
    32,064.92x = 475,148,257.39
  5. Step 5: Solve for x
    x = 475,148,257.39/32,064.92
  6. Step 6: Final answer
    x = 14,818.32

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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.