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Finding the Fourth Proportional to 35,200, 48,598.08 and 22,646.56

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Solution

The fourth proportional to 35,200, 48,598.08 and 22,646.56 is: 31,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200 : 48,598.08 = 22,646.56 : x
  2. Step 2: Convert to fraction form
    35,200/48,598.08 = 22,646.56/x
  3. Step 3: Cross multiply
    35,200x = 48,598.08 × 22,646.56
  4. Step 4: Simplify right side
    35,200x = 1,100,579,334.60
  5. Step 5: Solve for x
    x = 1,100,579,334.60/35,200
  6. Step 6: Final answer
    x = 31,266.46

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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.