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Finding the Fourth Proportional to 102,365.19, 153,494.33 and 32,225.67

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Solution

The fourth proportional to 102,365.19, 153,494.33 and 32,225.67 is: 48,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.19 : 153,494.33 = 32,225.67 : x
  2. Step 2: Convert to fraction form
    102,365.19/153,494.33 = 32,225.67/x
  3. Step 3: Cross multiply
    102,365.19x = 153,494.33 × 32,225.67
  4. Step 4: Simplify right side
    102,365.19x = 4,946,457,464.32
  5. Step 5: Solve for x
    x = 4,946,457,464.32/102,365.19
  6. Step 6: Final answer
    x = 48,321.68

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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.