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Finding the Fourth Proportional to 82,175.42, 113,400.24 and 46,364.51

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Solution

The fourth proportional to 82,175.42, 113,400.24 and 46,364.51 is: 63,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.42 : 113,400.24 = 46,364.51 : x
  2. Step 2: Convert to fraction form
    82,175.42/113,400.24 = 46,364.51/x
  3. Step 3: Cross multiply
    82,175.42x = 113,400.24 × 46,364.51
  4. Step 4: Simplify right side
    82,175.42x = 5,257,746,671.12
  5. Step 5: Solve for x
    x = 5,257,746,671.12/82,175.42
  6. Step 6: Final answer
    x = 63,981.99

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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.