Finding the Fourth Proportional to 105,121,121.44, 157,682,070.24 and 32,337,398.08
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Solution
The fourth proportional to 105,121,121.44, 157,682,070.24 and 32,337,398.08 is: 48,506,216.50
Step by Step Solution
- Step 1: Write the proportion equation
105,121,121.44 : 157,682,070.24 = 32,337,398.08 : x - Step 2: Convert to fraction form
105,121,121.44/157,682,070.24 = 32,337,398.08/x - Step 3: Cross multiply
105,121,121.44x = 157,682,070.24 × 32,337,398.08 - Step 4: Simplify right side
105,121,121.44x = 5,099,027,875,429,401 - Step 5: Solve for x
x = 5,099,027,875,429,401/105,121,121.44 - Step 6: Final answer
x = 48,506,216.50
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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.