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Finding the Fourth Proportional to 102,397.52, 153,573.24 and 36,733.52

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Solution

The fourth proportional to 102,397.52, 153,573.24 and 36,733.52 is: 55,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,397.52 : 153,573.24 = 36,733.52 : x
  2. Step 2: Convert to fraction form
    102,397.52/153,573.24 = 36,733.52/x
  3. Step 3: Cross multiply
    102,397.52x = 153,573.24 × 36,733.52
  4. Step 4: Simplify right side
    102,397.52x = 5,641,285,683.00
  5. Step 5: Solve for x
    x = 5,641,285,683.00/102,397.52
  6. Step 6: Final answer
    x = 55,092.01

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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.