Finding the Fourth Proportional to 97,692.90, 146,537.76 and 31,132.13
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Solution
The fourth proportional to 97,692.90, 146,537.76 and 31,132.13 is: 46,697.69
Step by Step Solution
- Step 1: Write the proportion equation
97,692.90 : 146,537.76 = 31,132.13 : x - Step 2: Convert to fraction form
97,692.90/146,537.76 = 31,132.13/x - Step 3: Cross multiply
97,692.90x = 146,537.76 × 31,132.13 - Step 4: Simplify right side
97,692.90x = 4,562,032,594.23 - Step 5: Solve for x
x = 4,562,032,594.23/97,692.90 - Step 6: Final answer
x = 46,697.69
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1.5x scale
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.