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Finding the Fourth Proportional to 55,137.64, 76,090.74 and 29,987.20

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Solution

The fourth proportional to 55,137.64, 76,090.74 and 29,987.20 is: 41,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137.64 : 76,090.74 = 29,987.20 : x
  2. Step 2: Convert to fraction form
    55,137.64/76,090.74 = 29,987.20/x
  3. Step 3: Cross multiply
    55,137.64x = 76,090.74 × 29,987.20
  4. Step 4: Simplify right side
    55,137.64x = 2,281,748,238.53
  5. Step 5: Solve for x
    x = 2,281,748,238.53/55,137.64
  6. Step 6: Final answer
    x = 41,382.77

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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.