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Finding the Fourth Proportional to 98,364.30, 147,546.45 and 24,492.30

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Solution

The fourth proportional to 98,364.30, 147,546.45 and 24,492.30 is: 36,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,364.30 : 147,546.45 = 24,492.30 : x
  2. Step 2: Convert to fraction form
    98,364.30/147,546.45 = 24,492.30/x
  3. Step 3: Cross multiply
    98,364.30x = 147,546.45 × 24,492.30
  4. Step 4: Simplify right side
    98,364.30x = 3,613,751,917.34
  5. Step 5: Solve for x
    x = 3,613,751,917.34/98,364.30
  6. Step 6: Final answer
    x = 36,738.45

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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.