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Finding the Fourth Proportional to 55,038.32, 75,953.64 and 31,164.48

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Solution

The fourth proportional to 55,038.32, 75,953.64 and 31,164.48 is: 43,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,038.32 : 75,953.64 = 31,164.48 : x
  2. Step 2: Convert to fraction form
    55,038.32/75,953.64 = 31,164.48/x
  3. Step 3: Cross multiply
    55,038.32x = 75,953.64 × 31,164.48
  4. Step 4: Simplify right side
    55,038.32x = 2,367,055,694.71
  5. Step 5: Solve for x
    x = 2,367,055,694.71/55,038.32
  6. Step 6: Final answer
    x = 43,007.41

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