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Finding the Fourth Proportional to 68,047.02, 102,081.44 and 23,686.45

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Solution

The fourth proportional to 68,047.02, 102,081.44 and 23,686.45 is: 35,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.02 : 102,081.44 = 23,686.45 : x
  2. Step 2: Convert to fraction form
    68,047.02/102,081.44 = 23,686.45/x
  3. Step 3: Cross multiply
    68,047.02x = 102,081.44 × 23,686.45
  4. Step 4: Simplify right side
    68,047.02x = 2,417,946,728.50
  5. Step 5: Solve for x
    x = 2,417,946,728.50/68,047.02
  6. Step 6: Final answer
    x = 35,533.47

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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.