Finding the Fourth Proportional to 47.52, 71.24 and 38
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Solution
The fourth proportional to 47.52, 71.24 and 38 is: 56.97
Step by Step Solution
- Step 1: Write the proportion equation
47.52 : 71.24 = 38 : x - Step 2: Convert to fraction form
47.52/71.24 = 38/x - Step 3: Cross multiply
47.52x = 71.24 × 38 - Step 4: Simplify right side
47.52x = 2,707.12 - Step 5: Solve for x
x = 2,707.12/47.52 - Step 6: Final answer
x = 56.97
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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.