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Finding the Fourth Proportional to 35,967.45, 49,656.35 and 31,977.53

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Solution

The fourth proportional to 35,967.45, 49,656.35 and 31,977.53 is: 44,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.45 : 49,656.35 = 31,977.53 : x
  2. Step 2: Convert to fraction form
    35,967.45/49,656.35 = 31,977.53/x
  3. Step 3: Cross multiply
    35,967.45x = 49,656.35 × 31,977.53
  4. Step 4: Simplify right side
    35,967.45x = 1,587,887,013.65
  5. Step 5: Solve for x
    x = 1,587,887,013.65/35,967.45
  6. Step 6: Final answer
    x = 44,147.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.