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Finding the Fourth Proportional to 37,434.30, 51,657.12 and 20,435.16

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Solution

The fourth proportional to 37,434.30, 51,657.12 and 20,435.16 is: 28,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,434.30 : 51,657.12 = 20,435.16 : x
  2. Step 2: Convert to fraction form
    37,434.30/51,657.12 = 20,435.16/x
  3. Step 3: Cross multiply
    37,434.30x = 51,657.12 × 20,435.16
  4. Step 4: Simplify right side
    37,434.30x = 1,055,621,512.34
  5. Step 5: Solve for x
    x = 1,055,621,512.34/37,434.30
  6. Step 6: Final answer
    x = 28,199.31

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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.