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Finding the Fourth Proportional to 40,955.28, 56,535.72 and 27,534.32

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Solution

The fourth proportional to 40,955.28, 56,535.72 and 27,534.32 is: 38,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,955.28 : 56,535.72 = 27,534.32 : x
  2. Step 2: Convert to fraction form
    40,955.28/56,535.72 = 27,534.32/x
  3. Step 3: Cross multiply
    40,955.28x = 56,535.72 × 27,534.32
  4. Step 4: Simplify right side
    40,955.28x = 1,556,672,605.91
  5. Step 5: Solve for x
    x = 1,556,672,605.91/40,955.28
  6. Step 6: Final answer
    x = 38,009.08

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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.