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Finding the Fourth Proportional to 73,115.60, 109,673.40 and 47,746.40

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Solution

The fourth proportional to 73,115.60, 109,673.40 and 47,746.40 is: 71,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,115.60 : 109,673.40 = 47,746.40 : x
  2. Step 2: Convert to fraction form
    73,115.60/109,673.40 = 47,746.40/x
  3. Step 3: Cross multiply
    73,115.60x = 109,673.40 × 47,746.40
  4. Step 4: Simplify right side
    73,115.60x = 5,236,510,025.76
  5. Step 5: Solve for x
    x = 5,236,510,025.76/73,115.60
  6. Step 6: Final answer
    x = 71,619.60

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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.