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Finding the Fourth Proportional to 30,598.94, 42,224 and 21,651.68

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Solution

The fourth proportional to 30,598.94, 42,224 and 21,651.68 is: 29,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.94 : 42,224 = 21,651.68 : x
  2. Step 2: Convert to fraction form
    30,598.94/42,224 = 21,651.68/x
  3. Step 3: Cross multiply
    30,598.94x = 42,224 × 21,651.68
  4. Step 4: Simplify right side
    30,598.94x = 914,220,536.32
  5. Step 5: Solve for x
    x = 914,220,536.32/30,598.94
  6. Step 6: Final answer
    x = 29,877.52

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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.