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Finding the Fourth Proportional to 30,680.40, 46,021.18 and 9,619.98

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Solution

The fourth proportional to 30,680.40, 46,021.18 and 9,619.98 is: 14,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.40 : 46,021.18 = 9,619.98 : x
  2. Step 2: Convert to fraction form
    30,680.40/46,021.18 = 9,619.98/x
  3. Step 3: Cross multiply
    30,680.40x = 46,021.18 × 9,619.98
  4. Step 4: Simplify right side
    30,680.40x = 442,722,831.18
  5. Step 5: Solve for x
    x = 442,722,831.18/30,680.40
  6. Step 6: Final answer
    x = 14,430.15

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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.