Finding the Fourth Proportional to 70,560, 105,840 and 31,648
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Solution
The fourth proportional to 70,560, 105,840 and 31,648 is: 47,472
Step by Step Solution
- Step 1: Write the proportion equation
70,560 : 105,840 = 31,648 : x - Step 2: Convert to fraction form
70,560/105,840 = 31,648/x - Step 3: Cross multiply
70,560x = 105,840 × 31,648 - Step 4: Simplify right side
70,560x = 3,349,624,320 - Step 5: Solve for x
x = 3,349,624,320/70,560 - Step 6: Final answer
x = 47,472
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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.