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Finding the Fourth Proportional to 64,103.16, 96,024.18 and 52,299

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Solution

The fourth proportional to 64,103.16, 96,024.18 and 52,299 is: 78,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,103.16 : 96,024.18 = 52,299 : x
  2. Step 2: Convert to fraction form
    64,103.16/96,024.18 = 52,299/x
  3. Step 3: Cross multiply
    64,103.16x = 96,024.18 × 52,299
  4. Step 4: Simplify right side
    64,103.16x = 5,021,968,589.82
  5. Step 5: Solve for x
    x = 5,021,968,589.82/64,103.16
  6. Step 6: Final answer
    x = 78,341.98

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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.