Finding the Fourth Proportional to 77,098.24, 115,673.62 and 41,563.00
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Solution
The fourth proportional to 77,098.24, 115,673.62 and 41,563.00 is: 62,358.65
Step by Step Solution
- Step 1: Write the proportion equation
77,098.24 : 115,673.62 = 41,563.00 : x - Step 2: Convert to fraction form
77,098.24/115,673.62 = 41,563.00/x - Step 3: Cross multiply
77,098.24x = 115,673.62 × 41,563.00 - Step 4: Simplify right side
77,098.24x = 4,807,742,376.97 - Step 5: Solve for x
x = 4,807,742,376.97/77,098.24 - Step 6: Final answer
x = 62,358.65
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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.