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Finding the Fourth Proportional to 55,210.32, 76,192.11 and 31,338

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Solution

The fourth proportional to 55,210.32, 76,192.11 and 31,338 is: 43,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,210.32 : 76,192.11 = 31,338 : x
  2. Step 2: Convert to fraction form
    55,210.32/76,192.11 = 31,338/x
  3. Step 3: Cross multiply
    55,210.32x = 76,192.11 × 31,338
  4. Step 4: Simplify right side
    55,210.32x = 2,387,708,343.18
  5. Step 5: Solve for x
    x = 2,387,708,343.18/55,210.32
  6. Step 6: Final answer
    x = 43,247.50

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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.