Finding the Fourth Proportional to 97,291.64, 145,932.12 and 29,823.56
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Solution
The fourth proportional to 97,291.64, 145,932.12 and 29,823.56 is: 44,733.70
Step by Step Solution
- Step 1: Write the proportion equation
97,291.64 : 145,932.12 = 29,823.56 : x - Step 2: Convert to fraction form
97,291.64/145,932.12 = 29,823.56/x - Step 3: Cross multiply
97,291.64x = 145,932.12 × 29,823.56 - Step 4: Simplify right side
97,291.64x = 4,352,215,336.75 - Step 5: Solve for x
x = 4,352,215,336.75/97,291.64 - Step 6: Final answer
x = 44,733.70
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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.