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Finding the Fourth Proportional to 49,783.60, 74,761.80 and 26,455.60

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Solution

The fourth proportional to 49,783.60, 74,761.80 and 26,455.60 is: 39,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783.60 : 74,761.80 = 26,455.60 : x
  2. Step 2: Convert to fraction form
    49,783.60/74,761.80 = 26,455.60/x
  3. Step 3: Cross multiply
    49,783.60x = 74,761.80 × 26,455.60
  4. Step 4: Simplify right side
    49,783.60x = 1,977,868,276.08
  5. Step 5: Solve for x
    x = 1,977,868,276.08/49,783.60
  6. Step 6: Final answer
    x = 39,729.31

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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.