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Finding the Fourth Proportional to 65,178.38, 89,946.06 and 35,370.38

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Solution

The fourth proportional to 65,178.38, 89,946.06 and 35,370.38 is: 48,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.38 : 89,946.06 = 35,370.38 : x
  2. Step 2: Convert to fraction form
    65,178.38/89,946.06 = 35,370.38/x
  3. Step 3: Cross multiply
    65,178.38x = 89,946.06 × 35,370.38
  4. Step 4: Simplify right side
    65,178.38x = 3,181,426,321.70
  5. Step 5: Solve for x
    x = 3,181,426,321.70/65,178.38
  6. Step 6: Final answer
    x = 48,811.07

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1.5x scale

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.