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Finding the Fourth Proportional to 82,335.53, 113,621.54 and 46,524.78

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Solution

The fourth proportional to 82,335.53, 113,621.54 and 46,524.78 is: 64,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,335.53 : 113,621.54 = 46,524.78 : x
  2. Step 2: Convert to fraction form
    82,335.53/113,621.54 = 46,524.78/x
  3. Step 3: Cross multiply
    82,335.53x = 113,621.54 × 46,524.78
  4. Step 4: Simplify right side
    82,335.53x = 5,286,216,583.65
  5. Step 5: Solve for x
    x = 5,286,216,583.65/82,335.53
  6. Step 6: Final answer
    x = 64,203.35

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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.