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Finding the Fourth Proportional to 31,145.99, 42,962.90 and 19,200.42

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Solution

The fourth proportional to 31,145.99, 42,962.90 and 19,200.42 is: 26,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.99 : 42,962.90 = 19,200.42 : x
  2. Step 2: Convert to fraction form
    31,145.99/42,962.90 = 19,200.42/x
  3. Step 3: Cross multiply
    31,145.99x = 42,962.90 × 19,200.42
  4. Step 4: Simplify right side
    31,145.99x = 824,905,628.42
  5. Step 5: Solve for x
    x = 824,905,628.42/31,145.99
  6. Step 6: Final answer
    x = 26,485.14

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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.