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Finding the Fourth Proportional to 34,016.64, 46,978.83 and 30,306.03

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Solution

The fourth proportional to 34,016.64, 46,978.83 and 30,306.03 is: 41,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016.64 : 46,978.83 = 30,306.03 : x
  2. Step 2: Convert to fraction form
    34,016.64/46,978.83 = 30,306.03/x
  3. Step 3: Cross multiply
    34,016.64x = 46,978.83 × 30,306.03
  4. Step 4: Simplify right side
    34,016.64x = 1,423,741,831.34
  5. Step 5: Solve for x
    x = 1,423,741,831.34/34,016.64
  6. Step 6: Final answer
    x = 41,854.28

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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.