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Finding the Fourth Proportional to 52,411.82, 72,327.38 and 28,538.06

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Solution

The fourth proportional to 52,411.82, 72,327.38 and 28,538.06 is: 39,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411.82 : 72,327.38 = 28,538.06 : x
  2. Step 2: Convert to fraction form
    52,411.82/72,327.38 = 28,538.06/x
  3. Step 3: Cross multiply
    52,411.82x = 72,327.38 × 28,538.06
  4. Step 4: Simplify right side
    52,411.82x = 2,064,082,967.39
  5. Step 5: Solve for x
    x = 2,064,082,967.39/52,411.82
  6. Step 6: Final answer
    x = 39,382.01

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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.