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Finding the Fourth Proportional to 32,656.03, 48,983.09 and 19,419.82

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Solution

The fourth proportional to 32,656.03, 48,983.09 and 19,419.82 is: 29,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.03 : 48,983.09 = 19,419.82 : x
  2. Step 2: Convert to fraction form
    32,656.03/48,983.09 = 19,419.82/x
  3. Step 3: Cross multiply
    32,656.03x = 48,983.09 × 19,419.82
  4. Step 4: Simplify right side
    32,656.03x = 951,242,545.93
  5. Step 5: Solve for x
    x = 951,242,545.93/32,656.03
  6. Step 6: Final answer
    x = 29,129.16

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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.