Finding the Fourth Proportional to 97,013.97, 145,614.80 and 70,024.14
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Solution
The fourth proportional to 97,013.97, 145,614.80 and 70,024.14 is: 105,103.94
Step by Step Solution
- Step 1: Write the proportion equation
97,013.97 : 145,614.80 = 70,024.14 : x - Step 2: Convert to fraction form
97,013.97/145,614.80 = 70,024.14/x - Step 3: Cross multiply
97,013.97x = 145,614.80 × 70,024.14 - Step 4: Simplify right side
97,013.97x = 10,196,550,413.20 - Step 5: Solve for x
x = 10,196,550,413.20/97,013.97 - Step 6: Final answer
x = 105,103.94
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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.