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Finding the Fourth Proportional to 29,820.44, 44,736.14 and 9,831.11

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Solution

The fourth proportional to 29,820.44, 44,736.14 and 9,831.11 is: 14,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.44 : 44,736.14 = 9,831.11 : x
  2. Step 2: Convert to fraction form
    29,820.44/44,736.14 = 9,831.11/x
  3. Step 3: Cross multiply
    29,820.44x = 44,736.14 × 9,831.11
  4. Step 4: Simplify right side
    29,820.44x = 439,805,864.16
  5. Step 5: Solve for x
    x = 439,805,864.16/29,820.44
  6. Step 6: Final answer
    x = 14,748.47

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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.