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Finding the Fourth Proportional to 51,784.34, 77,509.42 and 26,789.96

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Solution

The fourth proportional to 51,784.34, 77,509.42 and 26,789.96 is: 40,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.34 : 77,509.42 = 26,789.96 : x
  2. Step 2: Convert to fraction form
    51,784.34/77,509.42 = 26,789.96/x
  3. Step 3: Cross multiply
    51,784.34x = 77,509.42 × 26,789.96
  4. Step 4: Simplify right side
    51,784.34x = 2,076,474,261.42
  5. Step 5: Solve for x
    x = 2,076,474,261.42/51,784.34
  6. Step 6: Final answer
    x = 40,098.50

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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.