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Finding the Fourth Proportional to 64,297.01, 96,353.61 and 36,158

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Solution

The fourth proportional to 64,297.01, 96,353.61 and 36,158 is: 54,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,297.01 : 96,353.61 = 36,158 : x
  2. Step 2: Convert to fraction form
    64,297.01/96,353.61 = 36,158/x
  3. Step 3: Cross multiply
    64,297.01x = 96,353.61 × 36,158
  4. Step 4: Simplify right side
    64,297.01x = 3,483,953,830.38
  5. Step 5: Solve for x
    x = 3,483,953,830.38/64,297.01
  6. Step 6: Final answer
    x = 54,185.32

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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.