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Finding the Fourth Proportional to 30,894.80, 46,342.20 and 15,342.80

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Solution

The fourth proportional to 30,894.80, 46,342.20 and 15,342.80 is: 23,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.80 : 46,342.20 = 15,342.80 : x
  2. Step 2: Convert to fraction form
    30,894.80/46,342.20 = 15,342.80/x
  3. Step 3: Cross multiply
    30,894.80x = 46,342.20 × 15,342.80
  4. Step 4: Simplify right side
    30,894.80x = 711,019,106.16
  5. Step 5: Solve for x
    x = 711,019,106.16/30,894.80
  6. Step 6: Final answer
    x = 23,014.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.