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Finding the Fourth Proportional to 97,279.50, 134,245.71 and 52,567.50

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Solution

The fourth proportional to 97,279.50, 134,245.71 and 52,567.50 is: 72,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,279.50 : 134,245.71 = 52,567.50 : x
  2. Step 2: Convert to fraction form
    97,279.50/134,245.71 = 52,567.50/x
  3. Step 3: Cross multiply
    97,279.50x = 134,245.71 × 52,567.50
  4. Step 4: Simplify right side
    97,279.50x = 7,056,961,360.43
  5. Step 5: Solve for x
    x = 7,056,961,360.43/97,279.50
  6. Step 6: Final answer
    x = 72,543.15

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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.