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Finding the Fourth Proportional to 34,603.02, 51,904.56 and 9,643.14

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Solution

The fourth proportional to 34,603.02, 51,904.56 and 9,643.14 is: 14,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.02 : 51,904.56 = 9,643.14 : x
  2. Step 2: Convert to fraction form
    34,603.02/51,904.56 = 9,643.14/x
  3. Step 3: Cross multiply
    34,603.02x = 51,904.56 × 9,643.14
  4. Step 4: Simplify right side
    34,603.02x = 500,522,630.98
  5. Step 5: Solve for x
    x = 500,522,630.98/34,603.02
  6. Step 6: Final answer
    x = 14,464.71

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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.