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Finding the Fourth Proportional to 77,798.40, 116,654.40 and 33,417.60

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Solution

The fourth proportional to 77,798.40, 116,654.40 and 33,417.60 is: 50,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798.40 : 116,654.40 = 33,417.60 : x
  2. Step 2: Convert to fraction form
    77,798.40/116,654.40 = 33,417.60/x
  3. Step 3: Cross multiply
    77,798.40x = 116,654.40 × 33,417.60
  4. Step 4: Simplify right side
    77,798.40x = 3,898,310,077.44
  5. Step 5: Solve for x
    x = 3,898,310,077.44/77,798.40
  6. Step 6: Final answer
    x = 50,107.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.