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Finding the Fourth Proportional to 47,564.93, 65,683.73 and 35,607.51

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Solution

The fourth proportional to 47,564.93, 65,683.73 and 35,607.51 is: 49,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,564.93 : 65,683.73 = 35,607.51 : x
  2. Step 2: Convert to fraction form
    47,564.93/65,683.73 = 35,607.51/x
  3. Step 3: Cross multiply
    47,564.93x = 65,683.73 × 35,607.51
  4. Step 4: Simplify right side
    47,564.93x = 2,338,834,028.30
  5. Step 5: Solve for x
    x = 2,338,834,028.30/47,564.93
  6. Step 6: Final answer
    x = 49,171.39

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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.