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Finding the Fourth Proportional to 52,628.46, 78,977.07 and 19,348.80

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Solution

The fourth proportional to 52,628.46, 78,977.07 and 19,348.80 is: 29,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,628.46 : 78,977.07 = 19,348.80 : x
  2. Step 2: Convert to fraction form
    52,628.46/78,977.07 = 19,348.80/x
  3. Step 3: Cross multiply
    52,628.46x = 78,977.07 × 19,348.80
  4. Step 4: Simplify right side
    52,628.46x = 1,528,111,532.02
  5. Step 5: Solve for x
    x = 1,528,111,532.02/52,628.46
  6. Step 6: Final answer
    x = 29,035.84

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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.