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Finding the Fourth Proportional to 97,169.34, 134,093.97 and 56,341.38

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Solution

The fourth proportional to 97,169.34, 134,093.97 and 56,341.38 is: 77,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,169.34 : 134,093.97 = 56,341.38 : x
  2. Step 2: Convert to fraction form
    97,169.34/134,093.97 = 56,341.38/x
  3. Step 3: Cross multiply
    97,169.34x = 134,093.97 × 56,341.38
  4. Step 4: Simplify right side
    97,169.34x = 7,555,039,319.48
  5. Step 5: Solve for x
    x = 7,555,039,319.48/97,169.34
  6. Step 6: Final answer
    x = 77,751.27

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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.