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Finding the Fourth Proportional to 30,742.09, 42,408.03 and 19,407.50

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Solution

The fourth proportional to 30,742.09, 42,408.03 and 19,407.50 is: 26,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.09 : 42,408.03 = 19,407.50 : x
  2. Step 2: Convert to fraction form
    30,742.09/42,408.03 = 19,407.50/x
  3. Step 3: Cross multiply
    30,742.09x = 42,408.03 × 19,407.50
  4. Step 4: Simplify right side
    30,742.09x = 823,033,842.23
  5. Step 5: Solve for x
    x = 823,033,842.23/30,742.09
  6. Step 6: Final answer
    x = 26,772.22

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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.