Finding the Fourth Proportional to 32,009,564.84, 48,014,473.31 and 7,748,452.76
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Solution
The fourth proportional to 32,009,564.84, 48,014,473.31 and 7,748,452.76 is: 11,622,709.65
Step by Step Solution
- Step 1: Write the proportion equation
32,009,564.84 : 48,014,473.31 = 7,748,452.76 : x - Step 2: Convert to fraction form
32,009,564.84/48,014,473.31 = 7,748,452.76/x - Step 3: Cross multiply
32,009,564.84x = 48,014,473.31 × 7,748,452.76 - Step 4: Simplify right side
32,009,564.84x = 372,037,877,960,001.19 - Step 5: Solve for x
x = 372,037,877,960,001.19/32,009,564.84 - Step 6: Final answer
x = 11,622,709.65
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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.