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Finding the Fourth Proportional to 30,461.50, 42,041.73 and 17,883.82

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Solution

The fourth proportional to 30,461.50, 42,041.73 and 17,883.82 is: 24,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.50 : 42,041.73 = 17,883.82 : x
  2. Step 2: Convert to fraction form
    30,461.50/42,041.73 = 17,883.82/x
  3. Step 3: Cross multiply
    30,461.50x = 42,041.73 × 17,883.82
  4. Step 4: Simplify right side
    30,461.50x = 751,866,731.81
  5. Step 5: Solve for x
    x = 751,866,731.81/30,461.50
  6. Step 6: Final answer
    x = 24,682.52

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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.