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Finding the Fourth Proportional to 67,529.99, 101,214.08 and 31,457.82

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Solution

The fourth proportional to 67,529.99, 101,214.08 and 31,457.82 is: 47,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,529.99 : 101,214.08 = 31,457.82 : x
  2. Step 2: Convert to fraction form
    67,529.99/101,214.08 = 31,457.82/x
  3. Step 3: Cross multiply
    67,529.99x = 101,214.08 × 31,457.82
  4. Step 4: Simplify right side
    67,529.99x = 3,183,974,152.82
  5. Step 5: Solve for x
    x = 3,183,974,152.82/67,529.99
  6. Step 6: Final answer
    x = 47,149.04

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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.