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Finding the Fourth Proportional to 46,129.86, 69,141 and 21,172.50

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Solution

The fourth proportional to 46,129.86, 69,141 and 21,172.50 is: 31,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,129.86 : 69,141 = 21,172.50 : x
  2. Step 2: Convert to fraction form
    46,129.86/69,141 = 21,172.50/x
  3. Step 3: Cross multiply
    46,129.86x = 69,141 × 21,172.50
  4. Step 4: Simplify right side
    46,129.86x = 1,463,887,822.50
  5. Step 5: Solve for x
    x = 1,463,887,822.50/46,129.86
  6. Step 6: Final answer
    x = 31,734.06

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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.