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Finding the Fourth Proportional to 30,895.92, 42,636.42 and 16,748.82

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Solution

The fourth proportional to 30,895.92, 42,636.42 and 16,748.82 is: 23,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.92 : 42,636.42 = 16,748.82 : x
  2. Step 2: Convert to fraction form
    30,895.92/42,636.42 = 16,748.82/x
  3. Step 3: Cross multiply
    30,895.92x = 42,636.42 × 16,748.82
  4. Step 4: Simplify right side
    30,895.92x = 714,109,724.02
  5. Step 5: Solve for x
    x = 714,109,724.02/30,895.92
  6. Step 6: Final answer
    x = 23,113.40

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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.