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Finding the Fourth Proportional to 30,731.74, 42,410.19 and 17,303.02

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Solution

The fourth proportional to 30,731.74, 42,410.19 and 17,303.02 is: 23,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.74 : 42,410.19 = 17,303.02 : x
  2. Step 2: Convert to fraction form
    30,731.74/42,410.19 = 17,303.02/x
  3. Step 3: Cross multiply
    30,731.74x = 42,410.19 × 17,303.02
  4. Step 4: Simplify right side
    30,731.74x = 733,824,365.77
  5. Step 5: Solve for x
    x = 733,824,365.77/30,731.74
  6. Step 6: Final answer
    x = 23,878.39

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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.