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Finding the Fourth Proportional to 57,459.99, 86,011.79 and 31,099.35

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Solution

The fourth proportional to 57,459.99, 86,011.79 and 31,099.35 is: 46,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,459.99 : 86,011.79 = 31,099.35 : x
  2. Step 2: Convert to fraction form
    57,459.99/86,011.79 = 31,099.35/x
  3. Step 3: Cross multiply
    57,459.99x = 86,011.79 × 31,099.35
  4. Step 4: Simplify right side
    57,459.99x = 2,674,910,605.84
  5. Step 5: Solve for x
    x = 2,674,910,605.84/57,459.99
  6. Step 6: Final answer
    x = 46,552.58

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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.