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Finding the Fourth Proportional to 35,550, 53,320.74 and 9,256.80

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Solution

The fourth proportional to 35,550, 53,320.74 and 9,256.80 is: 13,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,550 : 53,320.74 = 9,256.80 : x
  2. Step 2: Convert to fraction form
    35,550/53,320.74 = 9,256.80/x
  3. Step 3: Cross multiply
    35,550x = 53,320.74 × 9,256.80
  4. Step 4: Simplify right side
    35,550x = 493,579,426.03
  5. Step 5: Solve for x
    x = 493,579,426.03/35,550
  6. Step 6: Final answer
    x = 13,884.09

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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.