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Finding the Fourth Proportional to 52,093.53, 78,244.14 and 49,156.00

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Solution

The fourth proportional to 52,093.53, 78,244.14 and 49,156.00 is: 73,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.53 : 78,244.14 = 49,156.00 : x
  2. Step 2: Convert to fraction form
    52,093.53/78,244.14 = 49,156.00/x
  3. Step 3: Cross multiply
    52,093.53x = 78,244.14 × 49,156.00
  4. Step 4: Simplify right side
    52,093.53x = 3,846,168,934.56
  5. Step 5: Solve for x
    x = 3,846,168,934.56/52,093.53
  6. Step 6: Final answer
    x = 73,831.99

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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.