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Finding the Fourth Proportional to 35,978.49, 53,962.87 and 9,684.81

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Solution

The fourth proportional to 35,978.49, 53,962.87 and 9,684.81 is: 14,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.49 : 53,962.87 = 9,684.81 : x
  2. Step 2: Convert to fraction form
    35,978.49/53,962.87 = 9,684.81/x
  3. Step 3: Cross multiply
    35,978.49x = 53,962.87 × 9,684.81
  4. Step 4: Simplify right side
    35,978.49x = 522,620,143.00
  5. Step 5: Solve for x
    x = 522,620,143.00/35,978.49
  6. Step 6: Final answer
    x = 14,525.91

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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.