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Finding the Fourth Proportional to 34,603.26, 51,904.93 and 9,643.38

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Solution

The fourth proportional to 34,603.26, 51,904.93 and 9,643.38 is: 14,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.26 : 51,904.93 = 9,643.38 : x
  2. Step 2: Convert to fraction form
    34,603.26/51,904.93 = 9,643.38/x
  3. Step 3: Cross multiply
    34,603.26x = 51,904.93 × 9,643.38
  4. Step 4: Simplify right side
    34,603.26x = 500,538,963.86
  5. Step 5: Solve for x
    x = 500,538,963.86/34,603.26
  6. Step 6: Final answer
    x = 14,465.08

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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.