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Finding the Fourth Proportional to 70,164, 96,829.83 and 42,931.57

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Solution

The fourth proportional to 70,164, 96,829.83 and 42,931.57 is: 59,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164 : 96,829.83 = 42,931.57 : x
  2. Step 2: Convert to fraction form
    70,164/96,829.83 = 42,931.57/x
  3. Step 3: Cross multiply
    70,164x = 96,829.83 × 42,931.57
  4. Step 4: Simplify right side
    70,164x = 4,157,056,624.73
  5. Step 5: Solve for x
    x = 4,157,056,624.73/70,164
  6. Step 6: Final answer
    x = 59,247.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.