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Finding the Fourth Proportional to 32,749.01, 49,077.02 and 25,224.11

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Solution

The fourth proportional to 32,749.01, 49,077.02 and 25,224.11 is: 37,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.01 : 49,077.02 = 25,224.11 : x
  2. Step 2: Convert to fraction form
    32,749.01/49,077.02 = 25,224.11/x
  3. Step 3: Cross multiply
    32,749.01x = 49,077.02 × 25,224.11
  4. Step 4: Simplify right side
    32,749.01x = 1,237,924,150.95
  5. Step 5: Solve for x
    x = 1,237,924,150.95/32,749.01
  6. Step 6: Final answer
    x = 37,800.35

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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.