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Finding the Fourth Proportional to 96,172.08, 144,274.74 and 42,883

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Solution

The fourth proportional to 96,172.08, 144,274.74 and 42,883 is: 64,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,172.08 : 144,274.74 = 42,883 : x
  2. Step 2: Convert to fraction form
    96,172.08/144,274.74 = 42,883/x
  3. Step 3: Cross multiply
    96,172.08x = 144,274.74 × 42,883
  4. Step 4: Simplify right side
    96,172.08x = 6,186,933,675.42
  5. Step 5: Solve for x
    x = 6,186,933,675.42/96,172.08
  6. Step 6: Final answer
    x = 64,331.91

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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.