Finding the Fourth Proportional to 78,004.83, 107,686.50 and 54,090
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Solution
The fourth proportional to 78,004.83, 107,686.50 and 54,090 is: 74,671.82
Step by Step Solution
- Step 1: Write the proportion equation
78,004.83 : 107,686.50 = 54,090 : x - Step 2: Convert to fraction form
78,004.83/107,686.50 = 54,090/x - Step 3: Cross multiply
78,004.83x = 107,686.50 × 54,090 - Step 4: Simplify right side
78,004.83x = 5,824,762,785 - Step 5: Solve for x
x = 5,824,762,785/78,004.83 - Step 6: Final answer
x = 74,671.82
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.