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Finding the Fourth Proportional to 61,762.24, 85,231.74 and 33,468.40

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Solution

The fourth proportional to 61,762.24, 85,231.74 and 33,468.40 is: 46,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,762.24 : 85,231.74 = 33,468.40 : x
  2. Step 2: Convert to fraction form
    61,762.24/85,231.74 = 33,468.40/x
  3. Step 3: Cross multiply
    61,762.24x = 85,231.74 × 33,468.40
  4. Step 4: Simplify right side
    61,762.24x = 2,852,569,967.02
  5. Step 5: Solve for x
    x = 2,852,569,967.02/61,762.24
  6. Step 6: Final answer
    x = 46,186.31

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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.