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Finding the Fourth Proportional to 53,710.26, 74,117.52 and 29,838.30

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Solution

The fourth proportional to 53,710.26, 74,117.52 and 29,838.30 is: 41,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.26 : 74,117.52 = 29,838.30 : x
  2. Step 2: Convert to fraction form
    53,710.26/74,117.52 = 29,838.30/x
  3. Step 3: Cross multiply
    53,710.26x = 74,117.52 × 29,838.30
  4. Step 4: Simplify right side
    53,710.26x = 2,211,540,797.02
  5. Step 5: Solve for x
    x = 2,211,540,797.02/53,710.26
  6. Step 6: Final answer
    x = 41,175.39

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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.