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Finding the Fourth Proportional to 34,323.84, 51,477.12 and 10,938.24

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Solution

The fourth proportional to 34,323.84, 51,477.12 and 10,938.24 is: 16,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,323.84 : 51,477.12 = 10,938.24 : x
  2. Step 2: Convert to fraction form
    34,323.84/51,477.12 = 10,938.24/x
  3. Step 3: Cross multiply
    34,323.84x = 51,477.12 × 10,938.24
  4. Step 4: Simplify right side
    34,323.84x = 563,069,093.07
  5. Step 5: Solve for x
    x = 563,069,093.07/34,323.84
  6. Step 6: Final answer
    x = 16,404.61

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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.