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Finding the Fourth Proportional to 32,893.78, 49,333.60 and 10,406.24

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Solution

The fourth proportional to 32,893.78, 49,333.60 and 10,406.24 is: 15,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.78 : 49,333.60 = 10,406.24 : x
  2. Step 2: Convert to fraction form
    32,893.78/49,333.60 = 10,406.24/x
  3. Step 3: Cross multiply
    32,893.78x = 49,333.60 × 10,406.24
  4. Step 4: Simplify right side
    32,893.78x = 513,377,281.66
  5. Step 5: Solve for x
    x = 513,377,281.66/32,893.78
  6. Step 6: Final answer
    x = 15,607.12

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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.