Finding the Fourth Proportional to 97,097.16, 145,664.12 and 37,929.09
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Solution
The fourth proportional to 97,097.16, 145,664.12 and 37,929.09 is: 56,900.82
Step by Step Solution
- Step 1: Write the proportion equation
97,097.16 : 145,664.12 = 37,929.09 : x - Step 2: Convert to fraction form
97,097.16/145,664.12 = 37,929.09/x - Step 3: Cross multiply
97,097.16x = 145,664.12 × 37,929.09 - Step 4: Simplify right side
97,097.16x = 5,524,908,158.31 - Step 5: Solve for x
x = 5,524,908,158.31/97,097.16 - Step 6: Final answer
x = 56,900.82
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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.