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Finding the Fourth Proportional to 30,742.35, 42,424.02 and 17,314.94

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Solution

The fourth proportional to 30,742.35, 42,424.02 and 17,314.94 is: 23,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.35 : 42,424.02 = 17,314.94 : x
  2. Step 2: Convert to fraction form
    30,742.35/42,424.02 = 17,314.94/x
  3. Step 3: Cross multiply
    30,742.35x = 42,424.02 × 17,314.94
  4. Step 4: Simplify right side
    30,742.35x = 734,569,148.74
  5. Step 5: Solve for x
    x = 734,569,148.74/30,742.35
  6. Step 6: Final answer
    x = 23,894.37

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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.