Finding the Fourth Proportional to 110,194.56, 165,291.84 and 31,315.68
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Solution
The fourth proportional to 110,194.56, 165,291.84 and 31,315.68 is: 46,973.52
Step by Step Solution
- Step 1: Write the proportion equation
110,194.56 : 165,291.84 = 31,315.68 : x - Step 2: Convert to fraction form
110,194.56/165,291.84 = 31,315.68/x - Step 3: Cross multiply
110,194.56x = 165,291.84 × 31,315.68 - Step 4: Simplify right side
110,194.56x = 5,176,226,368.05 - Step 5: Solve for x
x = 5,176,226,368.05/110,194.56 - Step 6: Final answer
x = 46,973.52
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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.