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Finding the Fourth Proportional to 112,704.84, 169,082.64 and 37,829.16

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Solution

The fourth proportional to 112,704.84, 169,082.64 and 37,829.16 is: 56,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,704.84 : 169,082.64 = 37,829.16 : x
  2. Step 2: Convert to fraction form
    112,704.84/169,082.64 = 37,829.16/x
  3. Step 3: Cross multiply
    112,704.84x = 169,082.64 × 37,829.16
  4. Step 4: Simplify right side
    112,704.84x = 6,396,254,241.78
  5. Step 5: Solve for x
    x = 6,396,254,241.78/112,704.84
  6. Step 6: Final answer
    x = 56,752.26

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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.