Finding the Fourth Proportional to 97,280,922.24, 145,942,199.96 and 35,870,257.49
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Solution
The fourth proportional to 97,280,922.24, 145,942,199.96 and 35,870,257.49 is: 53,813,061.90
Step by Step Solution
- Step 1: Write the proportion equation
97,280,922.24 : 145,942,199.96 = 35,870,257.49 : x - Step 2: Convert to fraction form
97,280,922.24/145,942,199.96 = 35,870,257.49/x - Step 3: Cross multiply
97,280,922.24x = 145,942,199.96 × 35,870,257.49 - Step 4: Simplify right side
97,280,922.24x = 5,234,984,290,313,206 - Step 5: Solve for x
x = 5,234,984,290,313,206/97,280,922.24 - Step 6: Final answer
x = 53,813,061.90
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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.