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Finding the Fourth Proportional to 35,701.44, 53,550 and 9,406.14

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Solution

The fourth proportional to 35,701.44, 53,550 and 9,406.14 is: 14,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.44 : 53,550 = 9,406.14 : x
  2. Step 2: Convert to fraction form
    35,701.44/53,550 = 9,406.14/x
  3. Step 3: Cross multiply
    35,701.44x = 53,550 × 9,406.14
  4. Step 4: Simplify right side
    35,701.44x = 503,698,797.00
  5. Step 5: Solve for x
    x = 503,698,797.00/35,701.44
  6. Step 6: Final answer
    x = 14,108.64

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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.