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Finding the Fourth Proportional to 61,952.16, 85,494.39 and 33,657.84

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Solution

The fourth proportional to 61,952.16, 85,494.39 and 33,657.84 is: 46,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,952.16 : 85,494.39 = 33,657.84 : x
  2. Step 2: Convert to fraction form
    61,952.16/85,494.39 = 33,657.84/x
  3. Step 3: Cross multiply
    61,952.16x = 85,494.39 × 33,657.84
  4. Step 4: Simplify right side
    61,952.16x = 2,877,556,499.52
  5. Step 5: Solve for x
    x = 2,877,556,499.52/61,952.16
  6. Step 6: Final answer
    x = 46,448.04

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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.