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Finding the Fourth Proportional to 47,652.50, 65,717.42 and 29,749.16

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Solution

The fourth proportional to 47,652.50, 65,717.42 and 29,749.16 is: 41,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652.50 : 65,717.42 = 29,749.16 : x
  2. Step 2: Convert to fraction form
    47,652.50/65,717.42 = 29,749.16/x
  3. Step 3: Cross multiply
    47,652.50x = 65,717.42 × 29,749.16
  4. Step 4: Simplify right side
    47,652.50x = 1,955,038,042.37
  5. Step 5: Solve for x
    x = 1,955,038,042.37/47,652.50
  6. Step 6: Final answer
    x = 41,026.98

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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.