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Finding the Fourth Proportional to 65,226.94, 97,840.44 and 15,978.94

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Solution

The fourth proportional to 65,226.94, 97,840.44 and 15,978.94 is: 23,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.94 : 97,840.44 = 15,978.94 : x
  2. Step 2: Convert to fraction form
    65,226.94/97,840.44 = 15,978.94/x
  3. Step 3: Cross multiply
    65,226.94x = 97,840.44 × 15,978.94
  4. Step 4: Simplify right side
    65,226.94x = 1,563,386,275.73
  5. Step 5: Solve for x
    x = 1,563,386,275.73/65,226.94
  6. Step 6: Final answer
    x = 23,968.41

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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.