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Finding the Fourth Proportional to 53,408.28, 73,624.84 and 42,041.36

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Solution

The fourth proportional to 53,408.28, 73,624.84 and 42,041.36 is: 57,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408.28 : 73,624.84 = 42,041.36 : x
  2. Step 2: Convert to fraction form
    53,408.28/73,624.84 = 42,041.36/x
  3. Step 3: Cross multiply
    53,408.28x = 73,624.84 × 42,041.36
  4. Step 4: Simplify right side
    53,408.28x = 3,095,288,403.38
  5. Step 5: Solve for x
    x = 3,095,288,403.38/53,408.28
  6. Step 6: Final answer
    x = 57,955.22

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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.