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Finding the Fourth Proportional to 30,742.60, 42,424.37 and 17,315.19

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Solution

The fourth proportional to 30,742.60, 42,424.37 and 17,315.19 is: 23,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.60 : 42,424.37 = 17,315.19 : x
  2. Step 2: Convert to fraction form
    30,742.60/42,424.37 = 17,315.19/x
  3. Step 3: Cross multiply
    30,742.60x = 42,424.37 × 17,315.19
  4. Step 4: Simplify right side
    30,742.60x = 734,585,728.48
  5. Step 5: Solve for x
    x = 734,585,728.48/30,742.60
  6. Step 6: Final answer
    x = 23,894.72

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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.