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Finding the Fourth Proportional to 56,302.20, 77,684.84 and 35,892

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Solution

The fourth proportional to 56,302.20, 77,684.84 and 35,892 is: 49,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302.20 : 77,684.84 = 35,892 : x
  2. Step 2: Convert to fraction form
    56,302.20/77,684.84 = 35,892/x
  3. Step 3: Cross multiply
    56,302.20x = 77,684.84 × 35,892
  4. Step 4: Simplify right side
    56,302.20x = 2,788,264,277.28
  5. Step 5: Solve for x
    x = 2,788,264,277.28/56,302.20
  6. Step 6: Final answer
    x = 49,523.19

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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.