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Finding the Fourth Proportional to 31,016.40, 46,526.40 and 8,831.40

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Solution

The fourth proportional to 31,016.40, 46,526.40 and 8,831.40 is: 13,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.40 : 46,526.40 = 8,831.40 : x
  2. Step 2: Convert to fraction form
    31,016.40/46,526.40 = 8,831.40/x
  3. Step 3: Cross multiply
    31,016.40x = 46,526.40 × 8,831.40
  4. Step 4: Simplify right side
    31,016.40x = 410,893,248.96
  5. Step 5: Solve for x
    x = 410,893,248.96/31,016.40
  6. Step 6: Final answer
    x = 13,247.61

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Why These Related Problems?

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