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Finding the Fourth Proportional to 77,485.38, 106,931.40 and 43,496.32

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Solution

The fourth proportional to 77,485.38, 106,931.40 and 43,496.32 is: 60,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,485.38 : 106,931.40 = 43,496.32 : x
  2. Step 2: Convert to fraction form
    77,485.38/106,931.40 = 43,496.32/x
  3. Step 3: Cross multiply
    77,485.38x = 106,931.40 × 43,496.32
  4. Step 4: Simplify right side
    77,485.38x = 4,651,121,857.79
  5. Step 5: Solve for x
    x = 4,651,121,857.79/77,485.38
  6. Step 6: Final answer
    x = 60,025.80

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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.