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Finding the Fourth Proportional to 47,456, 65,490.42 and 30,718.16

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Solution

The fourth proportional to 47,456, 65,490.42 and 30,718.16 is: 42,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,456 : 65,490.42 = 30,718.16 : x
  2. Step 2: Convert to fraction form
    47,456/65,490.42 = 30,718.16/x
  3. Step 3: Cross multiply
    47,456x = 65,490.42 × 30,718.16
  4. Step 4: Simplify right side
    47,456x = 2,011,745,200.03
  5. Step 5: Solve for x
    x = 2,011,745,200.03/47,456
  6. Step 6: Final answer
    x = 42,391.80

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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.