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Finding the Fourth Proportional to 53,196.47, 73,411.62 and 29,324

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Solution

The fourth proportional to 53,196.47, 73,411.62 and 29,324 is: 40,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,196.47 : 73,411.62 = 29,324 : x
  2. Step 2: Convert to fraction form
    53,196.47/73,411.62 = 29,324/x
  3. Step 3: Cross multiply
    53,196.47x = 73,411.62 × 29,324
  4. Step 4: Simplify right side
    53,196.47x = 2,152,722,344.88
  5. Step 5: Solve for x
    x = 2,152,722,344.88/53,196.47
  6. Step 6: Final answer
    x = 40,467.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.