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Finding the Fourth Proportional to 65,178.94, 89,946.93 and 35,370.94

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Solution

The fourth proportional to 65,178.94, 89,946.93 and 35,370.94 is: 48,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.94 : 89,946.93 = 35,370.94 : x
  2. Step 2: Convert to fraction form
    65,178.94/89,946.93 = 35,370.94/x
  3. Step 3: Cross multiply
    65,178.94x = 89,946.93 × 35,370.94
  4. Step 4: Simplify right side
    65,178.94x = 3,181,507,464.21
  5. Step 5: Solve for x
    x = 3,181,507,464.21/65,178.94
  6. Step 6: Final answer
    x = 48,811.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.