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Finding the Fourth Proportional to 32,708, 45,142.92 and 19,278.46

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Solution

The fourth proportional to 32,708, 45,142.92 and 19,278.46 is: 26,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708 : 45,142.92 = 19,278.46 : x
  2. Step 2: Convert to fraction form
    32,708/45,142.92 = 19,278.46/x
  3. Step 3: Cross multiply
    32,708x = 45,142.92 × 19,278.46
  4. Step 4: Simplify right side
    32,708x = 870,285,977.50
  5. Step 5: Solve for x
    x = 870,285,977.50/32,708
  6. Step 6: Final answer
    x = 26,607.74

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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.