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Finding the Fourth Proportional to 35,984.10, 53,970.05 and 9,682.98

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Solution

The fourth proportional to 35,984.10, 53,970.05 and 9,682.98 is: 14,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.10 : 53,970.05 = 9,682.98 : x
  2. Step 2: Convert to fraction form
    35,984.10/53,970.05 = 9,682.98/x
  3. Step 3: Cross multiply
    35,984.10x = 53,970.05 × 9,682.98
  4. Step 4: Simplify right side
    35,984.10x = 522,590,866.33
  5. Step 5: Solve for x
    x = 522,590,866.33/35,984.10
  6. Step 6: Final answer
    x = 14,522.83

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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.