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Finding the Fourth Proportional to 27,407.15, 37,821.90 and 14,831.90

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Solution

The fourth proportional to 27,407.15, 37,821.90 and 14,831.90 is: 20,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.15 : 37,821.90 = 14,831.90 : x
  2. Step 2: Convert to fraction form
    27,407.15/37,821.90 = 14,831.90/x
  3. Step 3: Cross multiply
    27,407.15x = 37,821.90 × 14,831.90
  4. Step 4: Simplify right side
    27,407.15x = 560,970,638.61
  5. Step 5: Solve for x
    x = 560,970,638.61/27,407.15
  6. Step 6: Final answer
    x = 20,468.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.