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Finding the Fourth Proportional to 97,823.40, 146,751.30 and 41,690.40

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Solution

The fourth proportional to 97,823.40, 146,751.30 and 41,690.40 is: 62,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,823.40 : 146,751.30 = 41,690.40 : x
  2. Step 2: Convert to fraction form
    97,823.40/146,751.30 = 41,690.40/x
  3. Step 3: Cross multiply
    97,823.40x = 146,751.30 × 41,690.40
  4. Step 4: Simplify right side
    97,823.40x = 6,118,120,397.52
  5. Step 5: Solve for x
    x = 6,118,120,397.52/97,823.40
  6. Step 6: Final answer
    x = 62,542.50

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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.