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Finding the Fourth Proportional to 45,770.64, 63,190.40 and 34,348

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Solution

The fourth proportional to 45,770.64, 63,190.40 and 34,348 is: 47,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770.64 : 63,190.40 = 34,348 : x
  2. Step 2: Convert to fraction form
    45,770.64/63,190.40 = 34,348/x
  3. Step 3: Cross multiply
    45,770.64x = 63,190.40 × 34,348
  4. Step 4: Simplify right side
    45,770.64x = 2,170,463,859.20
  5. Step 5: Solve for x
    x = 2,170,463,859.20/45,770.64
  6. Step 6: Final answer
    x = 47,420.44

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