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Finding the Fourth Proportional to 53,643.26, 74,026.28 and 29,769.32

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Solution

The fourth proportional to 53,643.26, 74,026.28 and 29,769.32 is: 41,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.26 : 74,026.28 = 29,769.32 : x
  2. Step 2: Convert to fraction form
    53,643.26/74,026.28 = 29,769.32/x
  3. Step 3: Cross multiply
    53,643.26x = 74,026.28 × 29,769.32
  4. Step 4: Simplify right side
    53,643.26x = 2,203,711,498.75
  5. Step 5: Solve for x
    x = 2,203,711,498.75/53,643.26
  6. Step 6: Final answer
    x = 41,080.87

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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.