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Finding the Fourth Proportional to 48,145.38, 72,213 and 14,866.53

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Solution

The fourth proportional to 48,145.38, 72,213 and 14,866.53 is: 22,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,145.38 : 72,213 = 14,866.53 : x
  2. Step 2: Convert to fraction form
    48,145.38/72,213 = 14,866.53/x
  3. Step 3: Cross multiply
    48,145.38x = 72,213 × 14,866.53
  4. Step 4: Simplify right side
    48,145.38x = 1,073,556,730.89
  5. Step 5: Solve for x
    x = 1,073,556,730.89/48,145.38
  6. Step 6: Final answer
    x = 22,298.23

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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.