Finding the Fourth Proportional to 31,380.48, 47,070.72 and 11,664
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Solution
The fourth proportional to 31,380.48, 47,070.72 and 11,664 is: 17,496
Step by Step Solution
- Step 1: Write the proportion equation
31,380.48 : 47,070.72 = 11,664 : x - Step 2: Convert to fraction form
31,380.48/47,070.72 = 11,664/x - Step 3: Cross multiply
31,380.48x = 47,070.72 × 11,664 - Step 4: Simplify right side
31,380.48x = 549,032,878.08 - Step 5: Solve for x
x = 549,032,878.08/31,380.48 - Step 6: Final answer
x = 17,496
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.