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Finding the Fourth Proportional to 30,831.50, 46,254.54 and 10,055

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Solution

The fourth proportional to 30,831.50, 46,254.54 and 10,055 is: 15,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.50 : 46,254.54 = 10,055 : x
  2. Step 2: Convert to fraction form
    30,831.50/46,254.54 = 10,055/x
  3. Step 3: Cross multiply
    30,831.50x = 46,254.54 × 10,055
  4. Step 4: Simplify right side
    30,831.50x = 465,089,399.70
  5. Step 5: Solve for x
    x = 465,089,399.70/30,831.50
  6. Step 6: Final answer
    x = 15,084.88

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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.