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Finding the Fourth Proportional to 73,518, 101,454.96 and 39,984

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Solution

The fourth proportional to 73,518, 101,454.96 and 39,984 is: 55,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,518 : 101,454.96 = 39,984 : x
  2. Step 2: Convert to fraction form
    73,518/101,454.96 = 39,984/x
  3. Step 3: Cross multiply
    73,518x = 101,454.96 × 39,984
  4. Step 4: Simplify right side
    73,518x = 4,056,575,120.64
  5. Step 5: Solve for x
    x = 4,056,575,120.64/73,518
  6. Step 6: Final answer
    x = 55,177.99

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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.