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Finding the Fourth Proportional to 52,574.60, 79,147.46 and 47,150

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Solution

The fourth proportional to 52,574.60, 79,147.46 and 47,150 is: 70,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,574.60 : 79,147.46 = 47,150 : x
  2. Step 2: Convert to fraction form
    52,574.60/79,147.46 = 47,150/x
  3. Step 3: Cross multiply
    52,574.60x = 79,147.46 × 47,150
  4. Step 4: Simplify right side
    52,574.60x = 3,731,802,739.00
  5. Step 5: Solve for x
    x = 3,731,802,739.00/52,574.60
  6. Step 6: Final answer
    x = 70,981.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.