Finding the Fourth Proportional to 31,970.12, 47,971.40 and 21,560
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Solution
The fourth proportional to 31,970.12, 47,971.40 and 21,560 is: 32,350.94
Step by Step Solution
- Step 1: Write the proportion equation
31,970.12 : 47,971.40 = 21,560 : x - Step 2: Convert to fraction form
31,970.12/47,971.40 = 21,560/x - Step 3: Cross multiply
31,970.12x = 47,971.40 × 21,560 - Step 4: Simplify right side
31,970.12x = 1,034,263,384 - Step 5: Solve for x
x = 1,034,263,384/31,970.12 - Step 6: Final answer
x = 32,350.94
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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.