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Finding the Fourth Proportional to 38,097, 52,575.48 and 22,178.88

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Solution

The fourth proportional to 38,097, 52,575.48 and 22,178.88 is: 30,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 52,575.48 = 22,178.88 : x
  2. Step 2: Convert to fraction form
    38,097/52,575.48 = 22,178.88/x
  3. Step 3: Cross multiply
    38,097x = 52,575.48 × 22,178.88
  4. Step 4: Simplify right side
    38,097x = 1,166,065,261.86
  5. Step 5: Solve for x
    x = 1,166,065,261.86/38,097
  6. Step 6: Final answer
    x = 30,607.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.