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Finding the Fourth Proportional to 48,111.60, 72,113.40 and 23,163.60

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Solution

The fourth proportional to 48,111.60, 72,113.40 and 23,163.60 is: 34,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,111.60 : 72,113.40 = 23,163.60 : x
  2. Step 2: Convert to fraction form
    48,111.60/72,113.40 = 23,163.60/x
  3. Step 3: Cross multiply
    48,111.60x = 72,113.40 × 23,163.60
  4. Step 4: Simplify right side
    48,111.60x = 1,670,405,952.24
  5. Step 5: Solve for x
    x = 1,670,405,952.24/48,111.60
  6. Step 6: Final answer
    x = 34,719.40

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Why These Related Problems?

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