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Finding the Fourth Proportional to 37,880.64, 52,259.04 and 22,769.28

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Solution

The fourth proportional to 37,880.64, 52,259.04 and 22,769.28 is: 31,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.64 : 52,259.04 = 22,769.28 : x
  2. Step 2: Convert to fraction form
    37,880.64/52,259.04 = 22,769.28/x
  3. Step 3: Cross multiply
    37,880.64x = 52,259.04 × 22,769.28
  4. Step 4: Simplify right side
    37,880.64x = 1,189,900,714.29
  5. Step 5: Solve for x
    x = 1,189,900,714.29/37,880.64
  6. Step 6: Final answer
    x = 31,411.84

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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.