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Finding the Fourth Proportional to 52,412.10, 72,327.06 and 28,538.62

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Solution

The fourth proportional to 52,412.10, 72,327.06 and 28,538.62 is: 39,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.10 : 72,327.06 = 28,538.62 : x
  2. Step 2: Convert to fraction form
    52,412.10/72,327.06 = 28,538.62/x
  3. Step 3: Cross multiply
    52,412.10x = 72,327.06 × 28,538.62
  4. Step 4: Simplify right side
    52,412.10x = 2,064,114,481.06
  5. Step 5: Solve for x
    x = 2,064,114,481.06/52,412.10
  6. Step 6: Final answer
    x = 39,382.40

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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.