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Finding the Fourth Proportional to 75,223.86, 112,836 and 19,064

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Solution

The fourth proportional to 75,223.86, 112,836 and 19,064 is: 28,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,223.86 : 112,836 = 19,064 : x
  2. Step 2: Convert to fraction form
    75,223.86/112,836 = 19,064/x
  3. Step 3: Cross multiply
    75,223.86x = 112,836 × 19,064
  4. Step 4: Simplify right side
    75,223.86x = 2,151,105,504
  5. Step 5: Solve for x
    x = 2,151,105,504/75,223.86
  6. Step 6: Final answer
    x = 28,596.05

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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.