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Finding the Fourth Proportional to 65,307.57, 98,005.04 and 23,754.57

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Solution

The fourth proportional to 65,307.57, 98,005.04 and 23,754.57 is: 35,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,307.57 : 98,005.04 = 23,754.57 : x
  2. Step 2: Convert to fraction form
    65,307.57/98,005.04 = 23,754.57/x
  3. Step 3: Cross multiply
    65,307.57x = 98,005.04 × 23,754.57
  4. Step 4: Simplify right side
    65,307.57x = 2,328,067,185.82
  5. Step 5: Solve for x
    x = 2,328,067,185.82/65,307.57
  6. Step 6: Final answer
    x = 35,647.74

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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.