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Finding the Fourth Proportional to 30,703.24, 42,370.05 and 17,965.18

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Solution

The fourth proportional to 30,703.24, 42,370.05 and 17,965.18 is: 24,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.24 : 42,370.05 = 17,965.18 : x
  2. Step 2: Convert to fraction form
    30,703.24/42,370.05 = 17,965.18/x
  3. Step 3: Cross multiply
    30,703.24x = 42,370.05 × 17,965.18
  4. Step 4: Simplify right side
    30,703.24x = 761,185,574.86
  5. Step 5: Solve for x
    x = 761,185,574.86/30,703.24
  6. Step 6: Final answer
    x = 24,791.70

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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.