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Finding the Fourth Proportional to 51,314.58, 76,969.58 and 15,774.45

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Solution

The fourth proportional to 51,314.58, 76,969.58 and 15,774.45 is: 23,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,314.58 : 76,969.58 = 15,774.45 : x
  2. Step 2: Convert to fraction form
    51,314.58/76,969.58 = 15,774.45/x
  3. Step 3: Cross multiply
    51,314.58x = 76,969.58 × 15,774.45
  4. Step 4: Simplify right side
    51,314.58x = 1,214,152,712.36
  5. Step 5: Solve for x
    x = 1,214,152,712.36/51,314.58
  6. Step 6: Final answer
    x = 23,660.97

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1.5x scale

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.