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Finding the Fourth Proportional to 56,250.34, 77,640.87 and 35,017

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Solution

The fourth proportional to 56,250.34, 77,640.87 and 35,017 is: 48,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,250.34 : 77,640.87 = 35,017 : x
  2. Step 2: Convert to fraction form
    56,250.34/77,640.87 = 35,017/x
  3. Step 3: Cross multiply
    56,250.34x = 77,640.87 × 35,017
  4. Step 4: Simplify right side
    56,250.34x = 2,718,750,344.79
  5. Step 5: Solve for x
    x = 2,718,750,344.79/56,250.34
  6. Step 6: Final answer
    x = 48,333.05

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Why These Related Problems?

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