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Finding the Fourth Proportional to 98,225.32, 147,272.36 and 30,734.50

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Solution

The fourth proportional to 98,225.32, 147,272.36 and 30,734.50 is: 46,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,225.32 : 147,272.36 = 30,734.50 : x
  2. Step 2: Convert to fraction form
    98,225.32/147,272.36 = 30,734.50/x
  3. Step 3: Cross multiply
    98,225.32x = 147,272.36 × 30,734.50
  4. Step 4: Simplify right side
    98,225.32x = 4,526,342,348.42
  5. Step 5: Solve for x
    x = 4,526,342,348.42/98,225.32
  6. Step 6: Final answer
    x = 46,081.22

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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.