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Finding the Fourth Proportional to 102,602.50, 153,893.67 and 50,048.26

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Solution

The fourth proportional to 102,602.50, 153,893.67 and 50,048.26 is: 75,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602.50 : 153,893.67 = 50,048.26 : x
  2. Step 2: Convert to fraction form
    102,602.50/153,893.67 = 50,048.26/x
  3. Step 3: Cross multiply
    102,602.50x = 153,893.67 × 50,048.26
  4. Step 4: Simplify right side
    102,602.50x = 7,702,110,408.51
  5. Step 5: Solve for x
    x = 7,702,110,408.51/102,602.50
  6. Step 6: Final answer
    x = 75,067.47

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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.