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Finding the Fourth Proportional to 30,852.84, 46,173.96 and 19,602.48

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Solution

The fourth proportional to 30,852.84, 46,173.96 and 19,602.48 is: 29,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.84 : 46,173.96 = 19,602.48 : x
  2. Step 2: Convert to fraction form
    30,852.84/46,173.96 = 19,602.48/x
  3. Step 3: Cross multiply
    30,852.84x = 46,173.96 × 19,602.48
  4. Step 4: Simplify right side
    30,852.84x = 905,124,127.42
  5. Step 5: Solve for x
    x = 905,124,127.42/30,852.84
  6. Step 6: Final answer
    x = 29,336.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.