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Finding the Fourth Proportional to 46,438.84, 69,658.26 and 32,649.40

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Solution

The fourth proportional to 46,438.84, 69,658.26 and 32,649.40 is: 48,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438.84 : 69,658.26 = 32,649.40 : x
  2. Step 2: Convert to fraction form
    46,438.84/69,658.26 = 32,649.40/x
  3. Step 3: Cross multiply
    46,438.84x = 69,658.26 × 32,649.40
  4. Step 4: Simplify right side
    46,438.84x = 2,274,300,394.04
  5. Step 5: Solve for x
    x = 2,274,300,394.04/46,438.84
  6. Step 6: Final answer
    x = 48,974.10

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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.