Finding the Fourth Proportional to 75,800.71, 113,652.42 and 31,458.07
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Solution
The fourth proportional to 75,800.71, 113,652.42 and 31,458.07 is: 47,166.92
Step by Step Solution
- Step 1: Write the proportion equation
75,800.71 : 113,652.42 = 31,458.07 : x - Step 2: Convert to fraction form
75,800.71/113,652.42 = 31,458.07/x - Step 3: Cross multiply
75,800.71x = 113,652.42 × 31,458.07 - Step 4: Simplify right side
75,800.71x = 3,575,285,784.03 - Step 5: Solve for x
x = 3,575,285,784.03/75,800.71 - Step 6: Final answer
x = 47,166.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.