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Finding the Fourth Proportional to 97,458.40, 146,187.60 and 23,586.40

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Solution

The fourth proportional to 97,458.40, 146,187.60 and 23,586.40 is: 35,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.40 : 146,187.60 = 23,586.40 : x
  2. Step 2: Convert to fraction form
    97,458.40/146,187.60 = 23,586.40/x
  3. Step 3: Cross multiply
    97,458.40x = 146,187.60 × 23,586.40
  4. Step 4: Simplify right side
    97,458.40x = 3,448,039,208.64
  5. Step 5: Solve for x
    x = 3,448,039,208.64/97,458.40
  6. Step 6: Final answer
    x = 35,379.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.