Finding the Fourth Proportional to 82,470,781.23, 113,803,040.88 and 47,665,725.99
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Solution
The fourth proportional to 82,470,781.23, 113,803,040.88 and 47,665,725.99 is: 65,774,865.75
Step by Step Solution
- Step 1: Write the proportion equation
82,470,781.23 : 113,803,040.88 = 47,665,725.99 : x - Step 2: Convert to fraction form
82,470,781.23/113,803,040.88 = 47,665,725.99/x - Step 3: Cross multiply
82,470,781.23x = 113,803,040.88 × 47,665,725.99 - Step 4: Simplify right side
82,470,781.23x = 5,424,504,563,414,848 - Step 5: Solve for x
x = 5,424,504,563,414,848/82,470,781.23 - Step 6: Final answer
x = 65,774,865.75
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.