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Finding the Fourth Proportional to 52,412.78, 72,327.48 and 28,539.40

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Solution

The fourth proportional to 52,412.78, 72,327.48 and 28,539.40 is: 39,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.78 : 72,327.48 = 28,539.40 : x
  2. Step 2: Convert to fraction form
    52,412.78/72,327.48 = 28,539.40/x
  3. Step 3: Cross multiply
    52,412.78x = 72,327.48 × 28,539.40
  4. Step 4: Simplify right side
    52,412.78x = 2,064,182,882.71
  5. Step 5: Solve for x
    x = 2,064,182,882.71/52,412.78
  6. Step 6: Final answer
    x = 39,383.20

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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.