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Finding the Fourth Proportional to 51,813.16, 71,502.16 and 29,457.16

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Solution

The fourth proportional to 51,813.16, 71,502.16 and 29,457.16 is: 40,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813.16 : 71,502.16 = 29,457.16 : x
  2. Step 2: Convert to fraction form
    51,813.16/71,502.16 = 29,457.16/x
  3. Step 3: Cross multiply
    51,813.16x = 71,502.16 × 29,457.16
  4. Step 4: Simplify right side
    51,813.16x = 2,106,250,062.67
  5. Step 5: Solve for x
    x = 2,106,250,062.67/51,813.16
  6. Step 6: Final answer
    x = 40,650.87

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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.