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Finding the Fourth Proportional to 50,658.84, 75,941.76 and 19,470.60

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Solution

The fourth proportional to 50,658.84, 75,941.76 and 19,470.60 is: 29,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.84 : 75,941.76 = 19,470.60 : x
  2. Step 2: Convert to fraction form
    50,658.84/75,941.76 = 19,470.60/x
  3. Step 3: Cross multiply
    50,658.84x = 75,941.76 × 19,470.60
  4. Step 4: Simplify right side
    50,658.84x = 1,478,631,632.26
  5. Step 5: Solve for x
    x = 1,478,631,632.26/50,658.84
  6. Step 6: Final answer
    x = 29,188.03

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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.