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Finding the Fourth Proportional to 32,952.60, 49,331.70 and 31,030.20

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Solution

The fourth proportional to 32,952.60, 49,331.70 and 31,030.20 is: 46,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.60 : 49,331.70 = 31,030.20 : x
  2. Step 2: Convert to fraction form
    32,952.60/49,331.70 = 31,030.20/x
  3. Step 3: Cross multiply
    32,952.60x = 49,331.70 × 31,030.20
  4. Step 4: Simplify right side
    32,952.60x = 1,530,772,517.34
  5. Step 5: Solve for x
    x = 1,530,772,517.34/32,952.60
  6. Step 6: Final answer
    x = 46,453.77

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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.