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Finding the Fourth Proportional to 35,314, 52,970.88 and 22,175.59

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Solution

The fourth proportional to 35,314, 52,970.88 and 22,175.59 is: 33,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314 : 52,970.88 = 22,175.59 : x
  2. Step 2: Convert to fraction form
    35,314/52,970.88 = 22,175.59/x
  3. Step 3: Cross multiply
    35,314x = 52,970.88 × 22,175.59
  4. Step 4: Simplify right side
    35,314x = 1,174,660,516.82
  5. Step 5: Solve for x
    x = 1,174,660,516.82/35,314
  6. Step 6: Final answer
    x = 33,263.31

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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.