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Finding the Fourth Proportional to 30,760.76, 42,430.16 and 19,410.23

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Solution

The fourth proportional to 30,760.76, 42,430.16 and 19,410.23 is: 26,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.76 : 42,430.16 = 19,410.23 : x
  2. Step 2: Convert to fraction form
    30,760.76/42,430.16 = 19,410.23/x
  3. Step 3: Cross multiply
    30,760.76x = 42,430.16 × 19,410.23
  4. Step 4: Simplify right side
    30,760.76x = 823,578,952.39
  5. Step 5: Solve for x
    x = 823,578,952.39/30,760.76
  6. Step 6: Final answer
    x = 26,773.69

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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.