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Finding the Fourth Proportional to 74,101.41, 102,258.99 and 42,270.84

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Solution

The fourth proportional to 74,101.41, 102,258.99 and 42,270.84 is: 58,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101.41 : 102,258.99 = 42,270.84 : x
  2. Step 2: Convert to fraction form
    74,101.41/102,258.99 = 42,270.84/x
  3. Step 3: Cross multiply
    74,101.41x = 102,258.99 × 42,270.84
  4. Step 4: Simplify right side
    74,101.41x = 4,322,573,404.85
  5. Step 5: Solve for x
    x = 4,322,573,404.85/74,101.41
  6. Step 6: Final answer
    x = 58,333.21

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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.