Finding the Fourth Proportional to 105,300, 157,950 and 31,428
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Solution
The fourth proportional to 105,300, 157,950 and 31,428 is: 47,142
Step by Step Solution
- Step 1: Write the proportion equation
105,300 : 157,950 = 31,428 : x - Step 2: Convert to fraction form
105,300/157,950 = 31,428/x - Step 3: Cross multiply
105,300x = 157,950 × 31,428 - Step 4: Simplify right side
105,300x = 4,964,052,600 - Step 5: Solve for x
x = 4,964,052,600/105,300 - Step 6: Final answer
x = 47,142
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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.