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Finding the Fourth Proportional to 82,661.04, 114,064.32 and 46,364.04

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Solution

The fourth proportional to 82,661.04, 114,064.32 and 46,364.04 is: 63,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.04 : 114,064.32 = 46,364.04 : x
  2. Step 2: Convert to fraction form
    82,661.04/114,064.32 = 46,364.04/x
  3. Step 3: Cross multiply
    82,661.04x = 114,064.32 × 46,364.04
  4. Step 4: Simplify right side
    82,661.04x = 5,288,482,695.05
  5. Step 5: Solve for x
    x = 5,288,482,695.05/82,661.04
  6. Step 6: Final answer
    x = 63,977.94

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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.