Finding the Fourth Proportional to 49,922,868.32, 68,892,236.67 and 27,896,548.74
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Solution
The fourth proportional to 49,922,868.32, 68,892,236.67 and 27,896,548.74 is: 38,496,498.75
Step by Step Solution
- Step 1: Write the proportion equation
49,922,868.32 : 68,892,236.67 = 27,896,548.74 : x - Step 2: Convert to fraction form
49,922,868.32/68,892,236.67 = 27,896,548.74/x - Step 3: Cross multiply
49,922,868.32x = 68,892,236.67 × 27,896,548.74 - Step 4: Simplify right side
49,922,868.32x = 1,921,855,637,859,674.50 - Step 5: Solve for x
x = 1,921,855,637,859,674.50/49,922,868.32 - Step 6: Final answer
x = 38,496,498.75
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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.