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Finding the Fourth Proportional to 42,471.60, 58,674.36 and 27,970.25

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Solution

The fourth proportional to 42,471.60, 58,674.36 and 27,970.25 is: 38,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471.60 : 58,674.36 = 27,970.25 : x
  2. Step 2: Convert to fraction form
    42,471.60/58,674.36 = 27,970.25/x
  3. Step 3: Cross multiply
    42,471.60x = 58,674.36 × 27,970.25
  4. Step 4: Simplify right side
    42,471.60x = 1,641,136,224.42
  5. Step 5: Solve for x
    x = 1,641,136,224.42/42,471.60
  6. Step 6: Final answer
    x = 38,640.79

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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.