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Finding the Fourth Proportional to 64,992.60, 97,414.16 and 29,858.44

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Solution

The fourth proportional to 64,992.60, 97,414.16 and 29,858.44 is: 44,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,992.60 : 97,414.16 = 29,858.44 : x
  2. Step 2: Convert to fraction form
    64,992.60/97,414.16 = 29,858.44/x
  3. Step 3: Cross multiply
    64,992.60x = 97,414.16 × 29,858.44
  4. Step 4: Simplify right side
    64,992.60x = 2,908,634,851.51
  5. Step 5: Solve for x
    x = 2,908,634,851.51/64,992.60
  6. Step 6: Final answer
    x = 44,753.32

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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.