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Finding the Fourth Proportional to 47,175, 65,101.50 and 25,953.81

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Solution

The fourth proportional to 47,175, 65,101.50 and 25,953.81 is: 35,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175 : 65,101.50 = 25,953.81 : x
  2. Step 2: Convert to fraction form
    47,175/65,101.50 = 25,953.81/x
  3. Step 3: Cross multiply
    47,175x = 65,101.50 × 25,953.81
  4. Step 4: Simplify right side
    47,175x = 1,689,631,961.72
  5. Step 5: Solve for x
    x = 1,689,631,961.72/47,175
  6. Step 6: Final answer
    x = 35,816.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.