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Finding the Fourth Proportional to 30,024, 45,035.64 and 28,197.18

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Solution

The fourth proportional to 30,024, 45,035.64 and 28,197.18 is: 42,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 45,035.64 = 28,197.18 : x
  2. Step 2: Convert to fraction form
    30,024/45,035.64 = 28,197.18/x
  3. Step 3: Cross multiply
    30,024x = 45,035.64 × 28,197.18
  4. Step 4: Simplify right side
    30,024x = 1,269,878,047.50
  5. Step 5: Solve for x
    x = 1,269,878,047.50/30,024
  6. Step 6: Final answer
    x = 42,295.43

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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.