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Finding the Fourth Proportional to 35,375.29, 53,051.67 and 11,678.42

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Solution

The fourth proportional to 35,375.29, 53,051.67 and 11,678.42 is: 17,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,375.29 : 53,051.67 = 11,678.42 : x
  2. Step 2: Convert to fraction form
    35,375.29/53,051.67 = 11,678.42/x
  3. Step 3: Cross multiply
    35,375.29x = 53,051.67 × 11,678.42
  4. Step 4: Simplify right side
    35,375.29x = 619,559,683.81
  5. Step 5: Solve for x
    x = 619,559,683.81/35,375.29
  6. Step 6: Final answer
    x = 17,513.91

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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.