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Finding the Fourth Proportional to 29,696.08, 44,534.82 and 9,701.02

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Solution

The fourth proportional to 29,696.08, 44,534.82 and 9,701.02 is: 14,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.08 : 44,534.82 = 9,701.02 : x
  2. Step 2: Convert to fraction form
    29,696.08/44,534.82 = 9,701.02/x
  3. Step 3: Cross multiply
    29,696.08x = 44,534.82 × 9,701.02
  4. Step 4: Simplify right side
    29,696.08x = 432,032,939.20
  5. Step 5: Solve for x
    x = 432,032,939.20/29,696.08
  6. Step 6: Final answer
    x = 14,548.48

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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.