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Finding the Fourth Proportional to 70,122, 96,770.58 and 38,293.32

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Solution

The fourth proportional to 70,122, 96,770.58 and 38,293.32 is: 52,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122 : 96,770.58 = 38,293.32 : x
  2. Step 2: Convert to fraction form
    70,122/96,770.58 = 38,293.32/x
  3. Step 3: Cross multiply
    70,122x = 96,770.58 × 38,293.32
  4. Step 4: Simplify right side
    70,122x = 3,705,666,786.53
  5. Step 5: Solve for x
    x = 3,705,666,786.53/70,122
  6. Step 6: Final answer
    x = 52,845.99

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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.