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Finding the Fourth Proportional to 96,434.68, 133,080.06 and 53,995

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Solution

The fourth proportional to 96,434.68, 133,080.06 and 53,995 is: 74,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434.68 : 133,080.06 = 53,995 : x
  2. Step 2: Convert to fraction form
    96,434.68/133,080.06 = 53,995/x
  3. Step 3: Cross multiply
    96,434.68x = 133,080.06 × 53,995
  4. Step 4: Simplify right side
    96,434.68x = 7,185,657,839.70
  5. Step 5: Solve for x
    x = 7,185,657,839.70/96,434.68
  6. Step 6: Final answer
    x = 74,513.21

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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.