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Finding the Fourth Proportional to 30,194.84, 45,292.20 and 19,804.16

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Solution

The fourth proportional to 30,194.84, 45,292.20 and 19,804.16 is: 29,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.84 : 45,292.20 = 19,804.16 : x
  2. Step 2: Convert to fraction form
    30,194.84/45,292.20 = 19,804.16/x
  3. Step 3: Cross multiply
    30,194.84x = 45,292.20 × 19,804.16
  4. Step 4: Simplify right side
    30,194.84x = 896,973,975.55
  5. Step 5: Solve for x
    x = 896,973,975.55/30,194.84
  6. Step 6: Final answer
    x = 29,706.20

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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.