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Finding the Fourth Proportional to 64,459.38, 88,953.54 and 36,165

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Solution

The fourth proportional to 64,459.38, 88,953.54 and 36,165 is: 49,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,459.38 : 88,953.54 = 36,165 : x
  2. Step 2: Convert to fraction form
    64,459.38/88,953.54 = 36,165/x
  3. Step 3: Cross multiply
    64,459.38x = 88,953.54 × 36,165
  4. Step 4: Simplify right side
    64,459.38x = 3,217,004,774.10
  5. Step 5: Solve for x
    x = 3,217,004,774.10/64,459.38
  6. Step 6: Final answer
    x = 49,907.47

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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.