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Finding the Fourth Proportional to 92,014.20, 137,948.40 and 50,461.20

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Solution

The fourth proportional to 92,014.20, 137,948.40 and 50,461.20 is: 75,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014.20 : 137,948.40 = 50,461.20 : x
  2. Step 2: Convert to fraction form
    92,014.20/137,948.40 = 50,461.20/x
  3. Step 3: Cross multiply
    92,014.20x = 137,948.40 × 50,461.20
  4. Step 4: Simplify right side
    92,014.20x = 6,961,041,802.08
  5. Step 5: Solve for x
    x = 6,961,041,802.08/92,014.20
  6. Step 6: Final answer
    x = 75,651.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.