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Finding the Fourth Proportional to 102,064.02, 153,072.99 and 36,400.02

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Solution

The fourth proportional to 102,064.02, 153,072.99 and 36,400.02 is: 54,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.02 : 153,072.99 = 36,400.02 : x
  2. Step 2: Convert to fraction form
    102,064.02/153,072.99 = 36,400.02/x
  3. Step 3: Cross multiply
    102,064.02x = 153,072.99 × 36,400.02
  4. Step 4: Simplify right side
    102,064.02x = 5,571,859,897.46
  5. Step 5: Solve for x
    x = 5,571,859,897.46/102,064.02
  6. Step 6: Final answer
    x = 54,591.81

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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.