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Finding the Fourth Proportional to 58,076, 80,169.36 and 39,238.64

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Solution

The fourth proportional to 58,076, 80,169.36 and 39,238.64 is: 54,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,076 : 80,169.36 = 39,238.64 : x
  2. Step 2: Convert to fraction form
    58,076/80,169.36 = 39,238.64/x
  3. Step 3: Cross multiply
    58,076x = 80,169.36 × 39,238.64
  4. Step 4: Simplify right side
    58,076x = 3,145,736,656.07
  5. Step 5: Solve for x
    x = 3,145,736,656.07/58,076
  6. Step 6: Final answer
    x = 54,165.86

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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.