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Finding the Fourth Proportional to 69,383, 95,748.54 and 39,575

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Solution

The fourth proportional to 69,383, 95,748.54 and 39,575 is: 54,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,383 : 95,748.54 = 39,575 : x
  2. Step 2: Convert to fraction form
    69,383/95,748.54 = 39,575/x
  3. Step 3: Cross multiply
    69,383x = 95,748.54 × 39,575
  4. Step 4: Simplify right side
    69,383x = 3,789,248,470.50
  5. Step 5: Solve for x
    x = 3,789,248,470.50/69,383
  6. Step 6: Final answer
    x = 54,613.50

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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.