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Finding the Fourth Proportional to 47,397.98, 65,438.80 and 30,180.06

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Solution

The fourth proportional to 47,397.98, 65,438.80 and 30,180.06 is: 41,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,397.98 : 65,438.80 = 30,180.06 : x
  2. Step 2: Convert to fraction form
    47,397.98/65,438.80 = 30,180.06/x
  3. Step 3: Cross multiply
    47,397.98x = 65,438.80 × 30,180.06
  4. Step 4: Simplify right side
    47,397.98x = 1,974,946,923.02
  5. Step 5: Solve for x
    x = 1,974,946,923.02/47,397.98
  6. Step 6: Final answer
    x = 41,667.32

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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.