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Finding the Fourth Proportional to 32,991.40, 49,490.70 and 31,954.60

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Solution

The fourth proportional to 32,991.40, 49,490.70 and 31,954.60 is: 47,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.40 : 49,490.70 = 31,954.60 : x
  2. Step 2: Convert to fraction form
    32,991.40/49,490.70 = 31,954.60/x
  3. Step 3: Cross multiply
    32,991.40x = 49,490.70 × 31,954.60
  4. Step 4: Simplify right side
    32,991.40x = 1,581,455,522.22
  5. Step 5: Solve for x
    x = 1,581,455,522.22/32,991.40
  6. Step 6: Final answer
    x = 47,935.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.