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Finding the Fourth Proportional to 102,064.52, 153,073.74 and 36,400.52

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Solution

The fourth proportional to 102,064.52, 153,073.74 and 36,400.52 is: 54,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.52 : 153,073.74 = 36,400.52 : x
  2. Step 2: Convert to fraction form
    102,064.52/153,073.74 = 36,400.52/x
  3. Step 3: Cross multiply
    102,064.52x = 153,073.74 × 36,400.52
  4. Step 4: Simplify right side
    102,064.52x = 5,571,963,734.34
  5. Step 5: Solve for x
    x = 5,571,963,734.34/102,064.52
  6. Step 6: Final answer
    x = 54,592.56

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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.