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Finding the Fourth Proportional to 42,017.99, 57,984.07 and 22,897.93

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Solution

The fourth proportional to 42,017.99, 57,984.07 and 22,897.93 is: 31,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,017.99 : 57,984.07 = 22,897.93 : x
  2. Step 2: Convert to fraction form
    42,017.99/57,984.07 = 22,897.93/x
  3. Step 3: Cross multiply
    42,017.99x = 57,984.07 × 22,897.93
  4. Step 4: Simplify right side
    42,017.99x = 1,327,715,175.98
  5. Step 5: Solve for x
    x = 1,327,715,175.98/42,017.99
  6. Step 6: Final answer
    x = 31,598.73

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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.