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Finding the Fourth Proportional to 64,211.16, 96,186.18 and 52,407

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Solution

The fourth proportional to 64,211.16, 96,186.18 and 52,407 is: 78,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.16 : 96,186.18 = 52,407 : x
  2. Step 2: Convert to fraction form
    64,211.16/96,186.18 = 52,407/x
  3. Step 3: Cross multiply
    64,211.16x = 96,186.18 × 52,407
  4. Step 4: Simplify right side
    64,211.16x = 5,040,829,135.26
  5. Step 5: Solve for x
    x = 5,040,829,135.26/64,211.16
  6. Step 6: Final answer
    x = 78,503.94

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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.