Finding the Fourth Proportional to 31,712,688, 47,569,032 and 7,778,160
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Solution
The fourth proportional to 31,712,688, 47,569,032 and 7,778,160 is: 11,667,240
Step by Step Solution
- Step 1: Write the proportion equation
31,712,688 : 47,569,032 = 7,778,160 : x - Step 2: Convert to fraction form
31,712,688/47,569,032 = 7,778,160/x - Step 3: Cross multiply
31,712,688x = 47,569,032 × 7,778,160 - Step 4: Simplify right side
31,712,688x = 369,999,541,941,120 - Step 5: Solve for x
x = 369,999,541,941,120/31,712,688 - Step 6: Final answer
x = 11,667,240
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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.