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Finding the Fourth Proportional to 57,037.37, 78,695.48 and 34,064.48

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Solution

The fourth proportional to 57,037.37, 78,695.48 and 34,064.48 is: 46,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,037.37 : 78,695.48 = 34,064.48 : x
  2. Step 2: Convert to fraction form
    57,037.37/78,695.48 = 34,064.48/x
  3. Step 3: Cross multiply
    57,037.37x = 78,695.48 × 34,064.48
  4. Step 4: Simplify right side
    57,037.37x = 2,680,720,886.45
  5. Step 5: Solve for x
    x = 2,680,720,886.45/57,037.37
  6. Step 6: Final answer
    x = 46,999.38

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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.