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Finding the Fourth Proportional to 46,823.54, 64,598.09 and 29,823.26

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Solution

The fourth proportional to 46,823.54, 64,598.09 and 29,823.26 is: 41,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.54 : 64,598.09 = 29,823.26 : x
  2. Step 2: Convert to fraction form
    46,823.54/64,598.09 = 29,823.26/x
  3. Step 3: Cross multiply
    46,823.54x = 64,598.09 × 29,823.26
  4. Step 4: Simplify right side
    46,823.54x = 1,926,525,161.47
  5. Step 5: Solve for x
    x = 1,926,525,161.47/46,823.54
  6. Step 6: Final answer
    x = 41,144.38

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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.