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Finding the Fourth Proportional to 83,533.97, 115,266.54 and 53,336.97

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Solution

The fourth proportional to 83,533.97, 115,266.54 and 53,336.97 is: 73,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.97 : 115,266.54 = 53,336.97 : x
  2. Step 2: Convert to fraction form
    83,533.97/115,266.54 = 53,336.97/x
  3. Step 3: Cross multiply
    83,533.97x = 115,266.54 × 53,336.97
  4. Step 4: Simplify right side
    83,533.97x = 6,147,967,985.98
  5. Step 5: Solve for x
    x = 6,147,967,985.98/83,533.97
  6. Step 6: Final answer
    x = 73,598.42

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1.5x scale

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.