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Finding the Fourth Proportional to 84,658.08, 116,828.16 and 46,932

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Solution

The fourth proportional to 84,658.08, 116,828.16 and 46,932 is: 64,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,658.08 : 116,828.16 = 46,932 : x
  2. Step 2: Convert to fraction form
    84,658.08/116,828.16 = 46,932/x
  3. Step 3: Cross multiply
    84,658.08x = 116,828.16 × 46,932
  4. Step 4: Simplify right side
    84,658.08x = 5,482,979,205.12
  5. Step 5: Solve for x
    x = 5,482,979,205.12/84,658.08
  6. Step 6: Final answer
    x = 64,766.17

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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.