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Finding the Fourth Proportional to 37,461.65, 51,696.19 and 20,465.98

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Solution

The fourth proportional to 37,461.65, 51,696.19 and 20,465.98 is: 28,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,461.65 : 51,696.19 = 20,465.98 : x
  2. Step 2: Convert to fraction form
    37,461.65/51,696.19 = 20,465.98/x
  3. Step 3: Cross multiply
    37,461.65x = 51,696.19 × 20,465.98
  4. Step 4: Simplify right side
    37,461.65x = 1,058,013,086.96
  5. Step 5: Solve for x
    x = 1,058,013,086.96/37,461.65
  6. Step 6: Final answer
    x = 28,242.57

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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.