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Finding the Fourth Proportional to 35,950.98, 53,781.93 and 31,072.98

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Solution

The fourth proportional to 35,950.98, 53,781.93 and 31,072.98 is: 46,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,950.98 : 53,781.93 = 31,072.98 : x
  2. Step 2: Convert to fraction form
    35,950.98/53,781.93 = 31,072.98/x
  3. Step 3: Cross multiply
    35,950.98x = 53,781.93 × 31,072.98
  4. Step 4: Simplify right side
    35,950.98x = 1,671,164,835.25
  5. Step 5: Solve for x
    x = 1,671,164,835.25/35,950.98
  6. Step 6: Final answer
    x = 46,484.54

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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.