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Finding the Fourth Proportional to 51,271.86, 70,760.02 and 31,124.10

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Solution

The fourth proportional to 51,271.86, 70,760.02 and 31,124.10 is: 42,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,271.86 : 70,760.02 = 31,124.10 : x
  2. Step 2: Convert to fraction form
    51,271.86/70,760.02 = 31,124.10/x
  3. Step 3: Cross multiply
    51,271.86x = 70,760.02 × 31,124.10
  4. Step 4: Simplify right side
    51,271.86x = 2,202,341,938.48
  5. Step 5: Solve for x
    x = 2,202,341,938.48/51,271.86
  6. Step 6: Final answer
    x = 42,954.20

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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.