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Finding the Fourth Proportional to 32,995.43, 49,483.34 and 9,301.26

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Solution

The fourth proportional to 32,995.43, 49,483.34 and 9,301.26 is: 13,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,995.43 : 49,483.34 = 9,301.26 : x
  2. Step 2: Convert to fraction form
    32,995.43/49,483.34 = 9,301.26/x
  3. Step 3: Cross multiply
    32,995.43x = 49,483.34 × 9,301.26
  4. Step 4: Simplify right side
    32,995.43x = 460,257,364.50
  5. Step 5: Solve for x
    x = 460,257,364.50/32,995.43
  6. Step 6: Final answer
    x = 13,949.13

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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.