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Finding the Fourth Proportional to 30,594.22, 42,219.75 and 17,165.19

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Solution

The fourth proportional to 30,594.22, 42,219.75 and 17,165.19 is: 23,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.22 : 42,219.75 = 17,165.19 : x
  2. Step 2: Convert to fraction form
    30,594.22/42,219.75 = 17,165.19/x
  3. Step 3: Cross multiply
    30,594.22x = 42,219.75 × 17,165.19
  4. Step 4: Simplify right side
    30,594.22x = 724,710,030.50
  5. Step 5: Solve for x
    x = 724,710,030.50/30,594.22
  6. Step 6: Final answer
    x = 23,687.81

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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.