Finding the Fourth Proportional to 106,083,520.34, 159,125,324.61 and 47,723,031.14
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Solution
The fourth proportional to 106,083,520.34, 159,125,324.61 and 47,723,031.14 is: 71,584,566.55
Step by Step Solution
- Step 1: Write the proportion equation
106,083,520.34 : 159,125,324.61 = 47,723,031.14 : x - Step 2: Convert to fraction form
106,083,520.34/159,125,324.61 = 47,723,031.14/x - Step 3: Cross multiply
106,083,520.34x = 159,125,324.61 × 47,723,031.14 - Step 4: Simplify right side
106,083,520.34x = 7,593,942,821,525,639 - Step 5: Solve for x
x = 7,593,942,821,525,639/106,083,520.34 - Step 6: Final answer
x = 71,584,566.55
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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.