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Finding the Fourth Proportional to 52,714.16, 72,769.32 and 33,619.58

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Solution

The fourth proportional to 52,714.16, 72,769.32 and 33,619.58 is: 46,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714.16 : 72,769.32 = 33,619.58 : x
  2. Step 2: Convert to fraction form
    52,714.16/72,769.32 = 33,619.58/x
  3. Step 3: Cross multiply
    52,714.16x = 72,769.32 × 33,619.58
  4. Step 4: Simplify right side
    52,714.16x = 2,446,473,975.29
  5. Step 5: Solve for x
    x = 2,446,473,975.29/52,714.16
  6. Step 6: Final answer
    x = 46,410.19

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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.