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Finding the Fourth Proportional to 46,808.40, 70,212.60 and 32,811.60

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Solution

The fourth proportional to 46,808.40, 70,212.60 and 32,811.60 is: 49,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808.40 : 70,212.60 = 32,811.60 : x
  2. Step 2: Convert to fraction form
    46,808.40/70,212.60 = 32,811.60/x
  3. Step 3: Cross multiply
    46,808.40x = 70,212.60 × 32,811.60
  4. Step 4: Simplify right side
    46,808.40x = 2,303,787,746.16
  5. Step 5: Solve for x
    x = 2,303,787,746.16/46,808.40
  6. Step 6: Final answer
    x = 49,217.40

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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.