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Finding the Fourth Proportional to 64,298.01, 96,355.11 and 36,159

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Solution

The fourth proportional to 64,298.01, 96,355.11 and 36,159 is: 54,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,298.01 : 96,355.11 = 36,159 : x
  2. Step 2: Convert to fraction form
    64,298.01/96,355.11 = 36,159/x
  3. Step 3: Cross multiply
    64,298.01x = 96,355.11 × 36,159
  4. Step 4: Simplify right side
    64,298.01x = 3,484,104,422.49
  5. Step 5: Solve for x
    x = 3,484,104,422.49/64,298.01
  6. Step 6: Final answer
    x = 54,186.82

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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.