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Finding the Fourth Proportional to 46,602.54, 69,876.81 and 31,829.31

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Solution

The fourth proportional to 46,602.54, 69,876.81 and 31,829.31 is: 47,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,602.54 : 69,876.81 = 31,829.31 : x
  2. Step 2: Convert to fraction form
    46,602.54/69,876.81 = 31,829.31/x
  3. Step 3: Cross multiply
    46,602.54x = 69,876.81 × 31,829.31
  4. Step 4: Simplify right side
    46,602.54x = 2,224,130,647.30
  5. Step 5: Solve for x
    x = 2,224,130,647.30/46,602.54
  6. Step 6: Final answer
    x = 47,725.52

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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.