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Finding the Fourth Proportional to 30,144.74, 45,223.59 and 10,156.22

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Solution

The fourth proportional to 30,144.74, 45,223.59 and 10,156.22 is: 15,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.74 : 45,223.59 = 10,156.22 : x
  2. Step 2: Convert to fraction form
    30,144.74/45,223.59 = 10,156.22/x
  3. Step 3: Cross multiply
    30,144.74x = 45,223.59 × 10,156.22
  4. Step 4: Simplify right side
    30,144.74x = 459,300,682.22
  5. Step 5: Solve for x
    x = 459,300,682.22/30,144.74
  6. Step 6: Final answer
    x = 15,236.51

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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.