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Finding the Fourth Proportional to 42,830.64, 64,209 and 20,613.42

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Solution

The fourth proportional to 42,830.64, 64,209 and 20,613.42 is: 30,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.64 : 64,209 = 20,613.42 : x
  2. Step 2: Convert to fraction form
    42,830.64/64,209 = 20,613.42/x
  3. Step 3: Cross multiply
    42,830.64x = 64,209 × 20,613.42
  4. Step 4: Simplify right side
    42,830.64x = 1,323,567,084.78
  5. Step 5: Solve for x
    x = 1,323,567,084.78/42,830.64
  6. Step 6: Final answer
    x = 30,902.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.