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Finding the Fourth Proportional to 35,425, 48,886.50 and 19,509.42

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Solution

The fourth proportional to 35,425, 48,886.50 and 19,509.42 is: 26,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,425 : 48,886.50 = 19,509.42 : x
  2. Step 2: Convert to fraction form
    35,425/48,886.50 = 19,509.42/x
  3. Step 3: Cross multiply
    35,425x = 48,886.50 × 19,509.42
  4. Step 4: Simplify right side
    35,425x = 953,747,260.83
  5. Step 5: Solve for x
    x = 953,747,260.83/35,425
  6. Step 6: Final answer
    x = 26,923.00

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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.