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Finding the Fourth Proportional to 84,751.38, 116,978.06 and 48,962.16

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Solution

The fourth proportional to 84,751.38, 116,978.06 and 48,962.16 is: 67,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.38 : 116,978.06 = 48,962.16 : x
  2. Step 2: Convert to fraction form
    84,751.38/116,978.06 = 48,962.16/x
  3. Step 3: Cross multiply
    84,751.38x = 116,978.06 × 48,962.16
  4. Step 4: Simplify right side
    84,751.38x = 5,727,498,245.40
  5. Step 5: Solve for x
    x = 5,727,498,245.40/84,751.38
  6. Step 6: Final answer
    x = 67,580.00

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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.