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Finding the Fourth Proportional to 51,577.56, 77,372.12 and 46,280

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Solution

The fourth proportional to 51,577.56, 77,372.12 and 46,280 is: 69,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,577.56 : 77,372.12 = 46,280 : x
  2. Step 2: Convert to fraction form
    51,577.56/77,372.12 = 46,280/x
  3. Step 3: Cross multiply
    51,577.56x = 77,372.12 × 46,280
  4. Step 4: Simplify right side
    51,577.56x = 3,580,781,713.60
  5. Step 5: Solve for x
    x = 3,580,781,713.60/51,577.56
  6. Step 6: Final answer
    x = 69,425.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.