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Finding the Fourth Proportional to 65,192.48, 89,965.68 and 35,384.48

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Solution

The fourth proportional to 65,192.48, 89,965.68 and 35,384.48 is: 48,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192.48 : 89,965.68 = 35,384.48 : x
  2. Step 2: Convert to fraction form
    65,192.48/89,965.68 = 35,384.48/x
  3. Step 3: Cross multiply
    65,192.48x = 89,965.68 × 35,384.48
  4. Step 4: Simplify right side
    65,192.48x = 3,183,388,804.65
  5. Step 5: Solve for x
    x = 3,183,388,804.65/65,192.48
  6. Step 6: Final answer
    x = 48,830.61

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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.