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Finding the Fourth Proportional to 97,759.29, 134,907.35 and 53,047.29

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Solution

The fourth proportional to 97,759.29, 134,907.35 and 53,047.29 is: 73,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,759.29 : 134,907.35 = 53,047.29 : x
  2. Step 2: Convert to fraction form
    97,759.29/134,907.35 = 53,047.29/x
  3. Step 3: Cross multiply
    97,759.29x = 134,907.35 × 53,047.29
  4. Step 4: Simplify right side
    97,759.29x = 7,156,469,053.35
  5. Step 5: Solve for x
    x = 7,156,469,053.35/97,759.29
  6. Step 6: Final answer
    x = 73,205.00

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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.