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Finding the Fourth Proportional to 46,794.64, 70,228.90 and 21,821.80

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Solution

The fourth proportional to 46,794.64, 70,228.90 and 21,821.80 is: 32,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,794.64 : 70,228.90 = 21,821.80 : x
  2. Step 2: Convert to fraction form
    46,794.64/70,228.90 = 21,821.80/x
  3. Step 3: Cross multiply
    46,794.64x = 70,228.90 × 21,821.80
  4. Step 4: Simplify right side
    46,794.64x = 1,532,521,010.02
  5. Step 5: Solve for x
    x = 1,532,521,010.02/46,794.64
  6. Step 6: Final answer
    x = 32,749.93

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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.