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Finding the Fourth Proportional to 64,894.82, 97,415.16 and 50,279.98

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Solution

The fourth proportional to 64,894.82, 97,415.16 and 50,279.98 is: 75,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,894.82 : 97,415.16 = 50,279.98 : x
  2. Step 2: Convert to fraction form
    64,894.82/97,415.16 = 50,279.98/x
  3. Step 3: Cross multiply
    64,894.82x = 97,415.16 × 50,279.98
  4. Step 4: Simplify right side
    64,894.82x = 4,898,032,296.50
  5. Step 5: Solve for x
    x = 4,898,032,296.50/64,894.82
  6. Step 6: Final answer
    x = 75,476.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.