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Finding the Fourth Proportional to 35,536.95, 53,299 and 9,240.07

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Solution

The fourth proportional to 35,536.95, 53,299 and 9,240.07 is: 13,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536.95 : 53,299 = 9,240.07 : x
  2. Step 2: Convert to fraction form
    35,536.95/53,299 = 9,240.07/x
  3. Step 3: Cross multiply
    35,536.95x = 53,299 × 9,240.07
  4. Step 4: Simplify right side
    35,536.95x = 492,486,490.93
  5. Step 5: Solve for x
    x = 492,486,490.93/35,536.95
  6. Step 6: Final answer
    x = 13,858.43

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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.