Finding the Fourth Proportional to 49,165,909.48, 67,848,967.20 and 27,139,421.44
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Solution
The fourth proportional to 49,165,909.48, 67,848,967.20 and 27,139,421.44 is: 37,452,408.28
Step by Step Solution
- Step 1: Write the proportion equation
49,165,909.48 : 67,848,967.20 = 27,139,421.44 : x - Step 2: Convert to fraction form
49,165,909.48/67,848,967.20 = 27,139,421.44/x - Step 3: Cross multiply
49,165,909.48x = 67,848,967.20 × 27,139,421.44 - Step 4: Simplify right side
49,165,909.48x = 1,841,381,715,109,537 - Step 5: Solve for x
x = 1,841,381,715,109,537/49,165,909.48 - Step 6: Final answer
x = 37,452,408.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.