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Finding the Fourth Proportional to 35,199.68, 48,575.98 and 20,094.40

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Solution

The fourth proportional to 35,199.68, 48,575.98 and 20,094.40 is: 27,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,199.68 : 48,575.98 = 20,094.40 : x
  2. Step 2: Convert to fraction form
    35,199.68/48,575.98 = 20,094.40/x
  3. Step 3: Cross multiply
    35,199.68x = 48,575.98 × 20,094.40
  4. Step 4: Simplify right side
    35,199.68x = 976,105,172.51
  5. Step 5: Solve for x
    x = 976,105,172.51/35,199.68
  6. Step 6: Final answer
    x = 27,730.51

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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.