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Finding the Fourth Proportional to 48,746.80, 73,071.60 and 22,405.60

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Solution

The fourth proportional to 48,746.80, 73,071.60 and 22,405.60 is: 33,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,746.80 : 73,071.60 = 22,405.60 : x
  2. Step 2: Convert to fraction form
    48,746.80/73,071.60 = 22,405.60/x
  3. Step 3: Cross multiply
    48,746.80x = 73,071.60 × 22,405.60
  4. Step 4: Simplify right side
    48,746.80x = 1,637,213,040.96
  5. Step 5: Solve for x
    x = 1,637,213,040.96/48,746.80
  6. Step 6: Final answer
    x = 33,586.06

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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.