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Finding the Fourth Proportional to 35,463, 53,194.66 and 10,503.50

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Solution

The fourth proportional to 35,463, 53,194.66 and 10,503.50 is: 15,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,463 : 53,194.66 = 10,503.50 : x
  2. Step 2: Convert to fraction form
    35,463/53,194.66 = 10,503.50/x
  3. Step 3: Cross multiply
    35,463x = 53,194.66 × 10,503.50
  4. Step 4: Simplify right side
    35,463x = 558,730,111.31
  5. Step 5: Solve for x
    x = 558,730,111.31/35,463
  6. Step 6: Final answer
    x = 15,755.30

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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.