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Finding the Fourth Proportional to 94,522.86, 142,044.71 and 50,182.83

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Solution

The fourth proportional to 94,522.86, 142,044.71 and 50,182.83 is: 75,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,522.86 : 142,044.71 = 50,182.83 : x
  2. Step 2: Convert to fraction form
    94,522.86/142,044.71 = 50,182.83/x
  3. Step 3: Cross multiply
    94,522.86x = 142,044.71 × 50,182.83
  4. Step 4: Simplify right side
    94,522.86x = 7,128,205,283.42
  5. Step 5: Solve for x
    x = 7,128,205,283.42/94,522.86
  6. Step 6: Final answer
    x = 75,412.50

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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.