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Finding the Fourth Proportional to 94,477.68, 141,738.48 and 32,148

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Solution

The fourth proportional to 94,477.68, 141,738.48 and 32,148 is: 48,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,477.68 : 141,738.48 = 32,148 : x
  2. Step 2: Convert to fraction form
    94,477.68/141,738.48 = 32,148/x
  3. Step 3: Cross multiply
    94,477.68x = 141,738.48 × 32,148
  4. Step 4: Simplify right side
    94,477.68x = 4,556,608,655.04
  5. Step 5: Solve for x
    x = 4,556,608,655.04/94,477.68
  6. Step 6: Final answer
    x = 48,229.47

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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.