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Finding the Fourth Proportional to 90,175.84, 135,276.06 and 37,573

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Solution

The fourth proportional to 90,175.84, 135,276.06 and 37,573 is: 56,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,175.84 : 135,276.06 = 37,573 : x
  2. Step 2: Convert to fraction form
    90,175.84/135,276.06 = 37,573/x
  3. Step 3: Cross multiply
    90,175.84x = 135,276.06 × 37,573
  4. Step 4: Simplify right side
    90,175.84x = 5,082,727,402.38
  5. Step 5: Solve for x
    x = 5,082,727,402.38/90,175.84
  6. Step 6: Final answer
    x = 56,364.62

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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.