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Finding the Fourth Proportional to 61,762.24, 85,232.30 and 33,468.16

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Solution

The fourth proportional to 61,762.24, 85,232.30 and 33,468.16 is: 46,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,762.24 : 85,232.30 = 33,468.16 : x
  2. Step 2: Convert to fraction form
    61,762.24/85,232.30 = 33,468.16/x
  3. Step 3: Cross multiply
    61,762.24x = 85,232.30 × 33,468.16
  4. Step 4: Simplify right side
    61,762.24x = 2,852,568,253.57
  5. Step 5: Solve for x
    x = 2,852,568,253.57/61,762.24
  6. Step 6: Final answer
    x = 46,186.28

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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.