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Finding the Fourth Proportional to 35,900.61, 53,847.10 and 9,608.01

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Solution

The fourth proportional to 35,900.61, 53,847.10 and 9,608.01 is: 14,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,900.61 : 53,847.10 = 9,608.01 : x
  2. Step 2: Convert to fraction form
    35,900.61/53,847.10 = 9,608.01/x
  3. Step 3: Cross multiply
    35,900.61x = 53,847.10 × 9,608.01
  4. Step 4: Simplify right side
    35,900.61x = 517,363,475.27
  5. Step 5: Solve for x
    x = 517,363,475.27/35,900.61
  6. Step 6: Final answer
    x = 14,410.99

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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.