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Finding the Fourth Proportional to 32,617.80, 45,009 and 19,193.40

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Solution

The fourth proportional to 32,617.80, 45,009 and 19,193.40 is: 26,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.80 : 45,009 = 19,193.40 : x
  2. Step 2: Convert to fraction form
    32,617.80/45,009 = 19,193.40/x
  3. Step 3: Cross multiply
    32,617.80x = 45,009 × 19,193.40
  4. Step 4: Simplify right side
    32,617.80x = 863,875,740.60
  5. Step 5: Solve for x
    x = 863,875,740.60/32,617.80
  6. Step 6: Final answer
    x = 26,484.79

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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.