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Finding the Fourth Proportional to 52,606.60, 78,794.70 and 46,769.80

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Solution

The fourth proportional to 52,606.60, 78,794.70 and 46,769.80 is: 70,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,606.60 : 78,794.70 = 46,769.80 : x
  2. Step 2: Convert to fraction form
    52,606.60/78,794.70 = 46,769.80/x
  3. Step 3: Cross multiply
    52,606.60x = 78,794.70 × 46,769.80
  4. Step 4: Simplify right side
    52,606.60x = 3,685,212,360.06
  5. Step 5: Solve for x
    x = 3,685,212,360.06/52,606.60
  6. Step 6: Final answer
    x = 70,052.28

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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.