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Finding the Fourth Proportional to 35,980.49, 53,965.87 and 9,686.81

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Solution

The fourth proportional to 35,980.49, 53,965.87 and 9,686.81 is: 14,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.49 : 53,965.87 = 9,686.81 : x
  2. Step 2: Convert to fraction form
    35,980.49/53,965.87 = 9,686.81/x
  3. Step 3: Cross multiply
    35,980.49x = 53,965.87 × 9,686.81
  4. Step 4: Simplify right side
    35,980.49x = 522,757,129.17
  5. Step 5: Solve for x
    x = 522,757,129.17/35,980.49
  6. Step 6: Final answer
    x = 14,528.91

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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.