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Finding the Fourth Proportional to 34,762.82, 47,970.80 and 19,654.62

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Solution

The fourth proportional to 34,762.82, 47,970.80 and 19,654.62 is: 27,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.82 : 47,970.80 = 19,654.62 : x
  2. Step 2: Convert to fraction form
    34,762.82/47,970.80 = 19,654.62/x
  3. Step 3: Cross multiply
    34,762.82x = 47,970.80 × 19,654.62
  4. Step 4: Simplify right side
    34,762.82x = 942,847,845.10
  5. Step 5: Solve for x
    x = 942,847,845.10/34,762.82
  6. Step 6: Final answer
    x = 27,122.31

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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.