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Finding the Fourth Proportional to 70,926, 97,877.46 and 38,660.58

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Solution

The fourth proportional to 70,926, 97,877.46 and 38,660.58 is: 53,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,926 : 97,877.46 = 38,660.58 : x
  2. Step 2: Convert to fraction form
    70,926/97,877.46 = 38,660.58/x
  3. Step 3: Cross multiply
    70,926x = 97,877.46 × 38,660.58
  4. Step 4: Simplify right side
    70,926x = 3,783,999,372.53
  5. Step 5: Solve for x
    x = 3,783,999,372.53/70,926
  6. Step 6: Final answer
    x = 53,351.37

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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.