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Finding the Fourth Proportional to 53,635.98, 74,016.38 and 29,762.04

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Solution

The fourth proportional to 53,635.98, 74,016.38 and 29,762.04 is: 41,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,635.98 : 74,016.38 = 29,762.04 : x
  2. Step 2: Convert to fraction form
    53,635.98/74,016.38 = 29,762.04/x
  3. Step 3: Cross multiply
    53,635.98x = 74,016.38 × 29,762.04
  4. Step 4: Simplify right side
    53,635.98x = 2,202,878,462.22
  5. Step 5: Solve for x
    x = 2,202,878,462.22/53,635.98
  6. Step 6: Final answer
    x = 41,070.91

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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.