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Finding the Fourth Proportional to 51,409.50, 70,915.53 and 30,184.66

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Solution

The fourth proportional to 51,409.50, 70,915.53 and 30,184.66 is: 41,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.50 : 70,915.53 = 30,184.66 : x
  2. Step 2: Convert to fraction form
    51,409.50/70,915.53 = 30,184.66/x
  3. Step 3: Cross multiply
    51,409.50x = 70,915.53 × 30,184.66
  4. Step 4: Simplify right side
    51,409.50x = 2,140,561,161.77
  5. Step 5: Solve for x
    x = 2,140,561,161.77/51,409.50
  6. Step 6: Final answer
    x = 41,637.46

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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.