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Finding the Fourth Proportional to 56,293.64, 84,449.10 and 19,349

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Solution

The fourth proportional to 56,293.64, 84,449.10 and 19,349 is: 29,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,293.64 : 84,449.10 = 19,349 : x
  2. Step 2: Convert to fraction form
    56,293.64/84,449.10 = 19,349/x
  3. Step 3: Cross multiply
    56,293.64x = 84,449.10 × 19,349
  4. Step 4: Simplify right side
    56,293.64x = 1,634,005,635.90
  5. Step 5: Solve for x
    x = 1,634,005,635.90/56,293.64
  6. Step 6: Final answer
    x = 29,026.47

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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.