Finding the Fourth Proportional to 52,024,125.75, 78,037,960.09 and 24,716,325.21
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Solution
The fourth proportional to 52,024,125.75, 78,037,960.09 and 24,716,325.21 is: 37,075,329.43
Step by Step Solution
- Step 1: Write the proportion equation
52,024,125.75 : 78,037,960.09 = 24,716,325.21 : x - Step 2: Convert to fraction form
52,024,125.75/78,037,960.09 = 24,716,325.21/x - Step 3: Cross multiply
52,024,125.75x = 78,037,960.09 × 24,716,325.21 - Step 4: Simplify right side
52,024,125.75x = 1,928,811,600,309,441 - Step 5: Solve for x
x = 1,928,811,600,309,441/52,024,125.75 - Step 6: Final answer
x = 37,075,329.43
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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.