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Finding the Fourth Proportional to 30,831.90, 46,229.12 and 12,089.48

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Solution

The fourth proportional to 30,831.90, 46,229.12 and 12,089.48 is: 18,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.90 : 46,229.12 = 12,089.48 : x
  2. Step 2: Convert to fraction form
    30,831.90/46,229.12 = 12,089.48/x
  3. Step 3: Cross multiply
    30,831.90x = 46,229.12 × 12,089.48
  4. Step 4: Simplify right side
    30,831.90x = 558,886,058.11
  5. Step 5: Solve for x
    x = 558,886,058.11/30,831.90
  6. Step 6: Final answer
    x = 18,126.88

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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.