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Finding the Fourth Proportional to 53,656.92, 74,046 and 29,782.98

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Solution

The fourth proportional to 53,656.92, 74,046 and 29,782.98 is: 41,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,656.92 : 74,046 = 29,782.98 : x
  2. Step 2: Convert to fraction form
    53,656.92/74,046 = 29,782.98/x
  3. Step 3: Cross multiply
    53,656.92x = 74,046 × 29,782.98
  4. Step 4: Simplify right side
    53,656.92x = 2,205,310,537.08
  5. Step 5: Solve for x
    x = 2,205,310,537.08/53,656.92
  6. Step 6: Final answer
    x = 41,100.21

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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.