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Finding the Fourth Proportional to 48,675.60, 73,013.40 and 32,054.40

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Solution

The fourth proportional to 48,675.60, 73,013.40 and 32,054.40 is: 48,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,675.60 : 73,013.40 = 32,054.40 : x
  2. Step 2: Convert to fraction form
    48,675.60/73,013.40 = 32,054.40/x
  3. Step 3: Cross multiply
    48,675.60x = 73,013.40 × 32,054.40
  4. Step 4: Simplify right side
    48,675.60x = 2,340,400,728.96
  5. Step 5: Solve for x
    x = 2,340,400,728.96/48,675.60
  6. Step 6: Final answer
    x = 48,081.60

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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.