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Finding the Fourth Proportional to 32,712, 45,147.42 and 19,278.96

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Solution

The fourth proportional to 32,712, 45,147.42 and 19,278.96 is: 26,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712 : 45,147.42 = 19,278.96 : x
  2. Step 2: Convert to fraction form
    32,712/45,147.42 = 19,278.96/x
  3. Step 3: Cross multiply
    32,712x = 45,147.42 × 19,278.96
  4. Step 4: Simplify right side
    32,712x = 870,395,304.28
  5. Step 5: Solve for x
    x = 870,395,304.28/32,712
  6. Step 6: Final answer
    x = 26,607.83

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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.