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Finding the Fourth Proportional to 94,361.28, 141,473.28 and 47,647.20

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Solution

The fourth proportional to 94,361.28, 141,473.28 and 47,647.20 is: 71,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,361.28 : 141,473.28 = 47,647.20 : x
  2. Step 2: Convert to fraction form
    94,361.28/141,473.28 = 47,647.20/x
  3. Step 3: Cross multiply
    94,361.28x = 141,473.28 × 47,647.20
  4. Step 4: Simplify right side
    94,361.28x = 6,740,805,666.82
  5. Step 5: Solve for x
    x = 6,740,805,666.82/94,361.28
  6. Step 6: Final answer
    x = 71,436.14

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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.