Finding the Fourth Proportional to 106,083,519.84, 159,125,323.86 and 47,723,030.64
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Solution
The fourth proportional to 106,083,519.84, 159,125,323.86 and 47,723,030.64 is: 71,584,565.80
Step by Step Solution
- Step 1: Write the proportion equation
106,083,519.84 : 159,125,323.86 = 47,723,030.64 : x - Step 2: Convert to fraction form
106,083,519.84/159,125,323.86 = 47,723,030.64/x - Step 3: Cross multiply
106,083,519.84x = 159,125,323.86 × 47,723,030.64 - Step 4: Simplify right side
106,083,519.84x = 7,593,942,706,170,704 - Step 5: Solve for x
x = 7,593,942,706,170,704/106,083,519.84 - Step 6: Final answer
x = 71,584,565.80
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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.