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Finding the Fourth Proportional to 53,599.77, 73,967.52 and 29,730

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Solution

The fourth proportional to 53,599.77, 73,967.52 and 29,730 is: 41,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,599.77 : 73,967.52 = 29,730 : x
  2. Step 2: Convert to fraction form
    53,599.77/73,967.52 = 29,730/x
  3. Step 3: Cross multiply
    53,599.77x = 73,967.52 × 29,730
  4. Step 4: Simplify right side
    53,599.77x = 2,199,054,369.60
  5. Step 5: Solve for x
    x = 2,199,054,369.60/53,599.77
  6. Step 6: Final answer
    x = 41,027.31

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