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Finding the Fourth Proportional to 35,683.67, 49,239.50 and 19,764.14

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Solution

The fourth proportional to 35,683.67, 49,239.50 and 19,764.14 is: 27,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683.67 : 49,239.50 = 19,764.14 : x
  2. Step 2: Convert to fraction form
    35,683.67/49,239.50 = 19,764.14/x
  3. Step 3: Cross multiply
    35,683.67x = 49,239.50 × 19,764.14
  4. Step 4: Simplify right side
    35,683.67x = 973,176,026.51
  5. Step 5: Solve for x
    x = 973,176,026.51/35,683.67
  6. Step 6: Final answer
    x = 27,272.31

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1.5x scale

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.