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Finding the Fourth Proportional to 62,133.54, 85,741.34 and 35,272.50

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Solution

The fourth proportional to 62,133.54, 85,741.34 and 35,272.50 is: 48,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,133.54 : 85,741.34 = 35,272.50 : x
  2. Step 2: Convert to fraction form
    62,133.54/85,741.34 = 35,272.50/x
  3. Step 3: Cross multiply
    62,133.54x = 85,741.34 × 35,272.50
  4. Step 4: Simplify right side
    62,133.54x = 3,024,311,415.15
  5. Step 5: Solve for x
    x = 3,024,311,415.15/62,133.54
  6. Step 6: Final answer
    x = 48,674.38

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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.