Finding the Fourth Proportional to 22,538,034.24, 31,102,258.56 and 12,224,535.84
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Solution
The fourth proportional to 22,538,034.24, 31,102,258.56 and 12,224,535.84 is: 16,869,735.42
Step by Step Solution
- Step 1: Write the proportion equation
22,538,034.24 : 31,102,258.56 = 12,224,535.84 : x - Step 2: Convert to fraction form
22,538,034.24/31,102,258.56 = 12,224,535.84/x - Step 3: Cross multiply
22,538,034.24x = 31,102,258.56 × 12,224,535.84 - Step 4: Simplify right side
22,538,034.24x = 380,210,674,471,666.75 - Step 5: Solve for x
x = 380,210,674,471,666.75/22,538,034.24 - Step 6: Final answer
x = 16,869,735.42
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1.5x scale
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.