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Finding the Fourth Proportional to 53,700.98, 74,092.47 and 33,578.42

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Solution

The fourth proportional to 53,700.98, 74,092.47 and 33,578.42 is: 46,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700.98 : 74,092.47 = 33,578.42 : x
  2. Step 2: Convert to fraction form
    53,700.98/74,092.47 = 33,578.42/x
  3. Step 3: Cross multiply
    53,700.98x = 74,092.47 × 33,578.42
  4. Step 4: Simplify right side
    53,700.98x = 2,487,908,076.50
  5. Step 5: Solve for x
    x = 2,487,908,076.50/53,700.98
  6. Step 6: Final answer
    x = 46,328.91

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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.