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Finding the Fourth Proportional to 53,015.16, 79,688.04 and 33,419.64

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Solution

The fourth proportional to 53,015.16, 79,688.04 and 33,419.64 is: 50,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,015.16 : 79,688.04 = 33,419.64 : x
  2. Step 2: Convert to fraction form
    53,015.16/79,688.04 = 33,419.64/x
  3. Step 3: Cross multiply
    53,015.16x = 79,688.04 × 33,419.64
  4. Step 4: Simplify right side
    53,015.16x = 2,663,145,609.11
  5. Step 5: Solve for x
    x = 2,663,145,609.11/53,015.16
  6. Step 6: Final answer
    x = 50,233.66

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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.