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Finding the Fourth Proportional to 109,014.93, 163,522.53 and 49,834.71

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Solution

The fourth proportional to 109,014.93, 163,522.53 and 49,834.71 is: 74,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,014.93 : 163,522.53 = 49,834.71 : x
  2. Step 2: Convert to fraction form
    109,014.93/163,522.53 = 49,834.71/x
  3. Step 3: Cross multiply
    109,014.93x = 163,522.53 × 49,834.71
  4. Step 4: Simplify right side
    109,014.93x = 8,149,097,861.02
  5. Step 5: Solve for x
    x = 8,149,097,861.02/109,014.93
  6. Step 6: Final answer
    x = 74,752.13

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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.