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Finding the Fourth Proportional to 35,858.44, 53,700 and 30,959.56

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Solution

The fourth proportional to 35,858.44, 53,700 and 30,959.56 is: 46,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,858.44 : 53,700 = 30,959.56 : x
  2. Step 2: Convert to fraction form
    35,858.44/53,700 = 30,959.56/x
  3. Step 3: Cross multiply
    35,858.44x = 53,700 × 30,959.56
  4. Step 4: Simplify right side
    35,858.44x = 1,662,528,372
  5. Step 5: Solve for x
    x = 1,662,528,372/35,858.44
  6. Step 6: Final answer
    x = 46,363.66

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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.