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Finding the Fourth Proportional to 97,132.50, 145,704.60 and 30,574.80

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Solution

The fourth proportional to 97,132.50, 145,704.60 and 30,574.80 is: 45,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132.50 : 145,704.60 = 30,574.80 : x
  2. Step 2: Convert to fraction form
    97,132.50/145,704.60 = 30,574.80/x
  3. Step 3: Cross multiply
    97,132.50x = 145,704.60 × 30,574.80
  4. Step 4: Simplify right side
    97,132.50x = 4,454,889,004.08
  5. Step 5: Solve for x
    x = 4,454,889,004.08/97,132.50
  6. Step 6: Final answer
    x = 45,864.04

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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.