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Finding the Fourth Proportional to 47,168.57, 65,047.95 and 30,178.19

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Solution

The fourth proportional to 47,168.57, 65,047.95 and 30,178.19 is: 41,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,168.57 : 65,047.95 = 30,178.19 : x
  2. Step 2: Convert to fraction form
    47,168.57/65,047.95 = 30,178.19/x
  3. Step 3: Cross multiply
    47,168.57x = 65,047.95 × 30,178.19
  4. Step 4: Simplify right side
    47,168.57x = 1,963,029,068.97
  5. Step 5: Solve for x
    x = 1,963,029,068.97/47,168.57
  6. Step 6: Final answer
    x = 41,617.32

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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.