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Finding the Fourth Proportional to 35,703, 49,202.19 and 26,145.81

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Solution

The fourth proportional to 35,703, 49,202.19 and 26,145.81 is: 36,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703 : 49,202.19 = 26,145.81 : x
  2. Step 2: Convert to fraction form
    35,703/49,202.19 = 26,145.81/x
  3. Step 3: Cross multiply
    35,703x = 49,202.19 × 26,145.81
  4. Step 4: Simplify right side
    35,703x = 1,286,431,111.32
  5. Step 5: Solve for x
    x = 1,286,431,111.32/35,703
  6. Step 6: Final answer
    x = 36,031.46

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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.