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Finding the Fourth Proportional to 53,710.42, 74,117.87 and 29,838.55

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Solution

The fourth proportional to 53,710.42, 74,117.87 and 29,838.55 is: 41,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.42 : 74,117.87 = 29,838.55 : x
  2. Step 2: Convert to fraction form
    53,710.42/74,117.87 = 29,838.55/x
  3. Step 3: Cross multiply
    53,710.42x = 74,117.87 × 29,838.55
  4. Step 4: Simplify right side
    53,710.42x = 2,211,569,620.70
  5. Step 5: Solve for x
    x = 2,211,569,620.70/53,710.42
  6. Step 6: Final answer
    x = 41,175.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.