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Finding the Fourth Proportional to 84,768.80, 116,978.63 and 46,528.29

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Solution

The fourth proportional to 84,768.80, 116,978.63 and 46,528.29 is: 64,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768.80 : 116,978.63 = 46,528.29 : x
  2. Step 2: Convert to fraction form
    84,768.80/116,978.63 = 46,528.29/x
  3. Step 3: Cross multiply
    84,768.80x = 116,978.63 × 46,528.29
  4. Step 4: Simplify right side
    84,768.80x = 5,442,815,387.80
  5. Step 5: Solve for x
    x = 5,442,815,387.80/84,768.80
  6. Step 6: Final answer
    x = 64,207.77

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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.