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Finding the Fourth Proportional to 53,382.85, 73,667.32 and 29,509.01

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Solution

The fourth proportional to 53,382.85, 73,667.32 and 29,509.01 is: 40,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,382.85 : 73,667.32 = 29,509.01 : x
  2. Step 2: Convert to fraction form
    53,382.85/73,667.32 = 29,509.01/x
  3. Step 3: Cross multiply
    53,382.85x = 73,667.32 × 29,509.01
  4. Step 4: Simplify right side
    53,382.85x = 2,173,849,682.68
  5. Step 5: Solve for x
    x = 2,173,849,682.68/53,382.85
  6. Step 6: Final answer
    x = 40,721.88

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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.