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Finding the Fourth Proportional to 47,652.16, 65,736.48 and 38,709.76

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Solution

The fourth proportional to 47,652.16, 65,736.48 and 38,709.76 is: 53,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652.16 : 65,736.48 = 38,709.76 : x
  2. Step 2: Convert to fraction form
    47,652.16/65,736.48 = 38,709.76/x
  3. Step 3: Cross multiply
    47,652.16x = 65,736.48 × 38,709.76
  4. Step 4: Simplify right side
    47,652.16x = 2,544,643,364.04
  5. Step 5: Solve for x
    x = 2,544,643,364.04/47,652.16
  6. Step 6: Final answer
    x = 53,400.38

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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.