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Finding the Fourth Proportional to 32,597.78, 48,902.94 and 13,877.46

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Solution

The fourth proportional to 32,597.78, 48,902.94 and 13,877.46 is: 20,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.78 : 48,902.94 = 13,877.46 : x
  2. Step 2: Convert to fraction form
    32,597.78/48,902.94 = 13,877.46/x
  3. Step 3: Cross multiply
    32,597.78x = 48,902.94 × 13,877.46
  4. Step 4: Simplify right side
    32,597.78x = 678,648,593.73
  5. Step 5: Solve for x
    x = 678,648,593.73/32,597.78
  6. Step 6: Final answer
    x = 20,818.86

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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.