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Finding the Fourth Proportional to 102,073.96, 153,044.46 and 35,509

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Solution

The fourth proportional to 102,073.96, 153,044.46 and 35,509 is: 53,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.96 : 153,044.46 = 35,509 : x
  2. Step 2: Convert to fraction form
    102,073.96/153,044.46 = 35,509/x
  3. Step 3: Cross multiply
    102,073.96x = 153,044.46 × 35,509
  4. Step 4: Simplify right side
    102,073.96x = 5,434,455,730.14
  5. Step 5: Solve for x
    x = 5,434,455,730.14/102,073.96
  6. Step 6: Final answer
    x = 53,240.37

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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.