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Finding the Fourth Proportional to 69,652.32, 96,170.24 and 42,830.88

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Solution

The fourth proportional to 69,652.32, 96,170.24 and 42,830.88 is: 59,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,652.32 : 96,170.24 = 42,830.88 : x
  2. Step 2: Convert to fraction form
    69,652.32/96,170.24 = 42,830.88/x
  3. Step 3: Cross multiply
    69,652.32x = 96,170.24 × 42,830.88
  4. Step 4: Simplify right side
    69,652.32x = 4,119,056,009.01
  5. Step 5: Solve for x
    x = 4,119,056,009.01/69,652.32
  6. Step 6: Final answer
    x = 59,137.38

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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.