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Finding the Fourth Proportional to 76,203.44, 105,160.98 and 42,213.32

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Solution

The fourth proportional to 76,203.44, 105,160.98 and 42,213.32 is: 58,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.44 : 105,160.98 = 42,213.32 : x
  2. Step 2: Convert to fraction form
    76,203.44/105,160.98 = 42,213.32/x
  3. Step 3: Cross multiply
    76,203.44x = 105,160.98 × 42,213.32
  4. Step 4: Simplify right side
    76,203.44x = 4,439,194,100.25
  5. Step 5: Solve for x
    x = 4,439,194,100.25/76,203.44
  6. Step 6: Final answer
    x = 58,254.51

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1.5x scale

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.