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Finding the Fourth Proportional to 97,759.50, 134,908.11 and 53,047.50

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Solution

The fourth proportional to 97,759.50, 134,908.11 and 53,047.50 is: 73,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,759.50 : 134,908.11 = 53,047.50 : x
  2. Step 2: Convert to fraction form
    97,759.50/134,908.11 = 53,047.50/x
  3. Step 3: Cross multiply
    97,759.50x = 134,908.11 × 53,047.50
  4. Step 4: Simplify right side
    97,759.50x = 7,156,537,965.23
  5. Step 5: Solve for x
    x = 7,156,537,965.23/97,759.50
  6. Step 6: Final answer
    x = 73,205.55

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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.