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Finding the Fourth Proportional to 52,172.94, 78,259.41 and 24,464.46

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Solution

The fourth proportional to 52,172.94, 78,259.41 and 24,464.46 is: 36,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,172.94 : 78,259.41 = 24,464.46 : x
  2. Step 2: Convert to fraction form
    52,172.94/78,259.41 = 24,464.46/x
  3. Step 3: Cross multiply
    52,172.94x = 78,259.41 × 24,464.46
  4. Step 4: Simplify right side
    52,172.94x = 1,914,574,205.57
  5. Step 5: Solve for x
    x = 1,914,574,205.57/52,172.94
  6. Step 6: Final answer
    x = 36,696.69

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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.