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Finding the Fourth Proportional to 84,618, 116,772.84 and 46,894.68

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Solution

The fourth proportional to 84,618, 116,772.84 and 46,894.68 is: 64,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,618 : 116,772.84 = 46,894.68 : x
  2. Step 2: Convert to fraction form
    84,618/116,772.84 = 46,894.68/x
  3. Step 3: Cross multiply
    84,618x = 116,772.84 × 46,894.68
  4. Step 4: Simplify right side
    84,618x = 5,476,024,964.49
  5. Step 5: Solve for x
    x = 5,476,024,964.49/84,618
  6. Step 6: Final answer
    x = 64,714.66

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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.