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Finding the Fourth Proportional to 55,064.61, 75,989.16 and 29,914.11

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Solution

The fourth proportional to 55,064.61, 75,989.16 and 29,914.11 is: 41,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,064.61 : 75,989.16 = 29,914.11 : x
  2. Step 2: Convert to fraction form
    55,064.61/75,989.16 = 29,914.11/x
  3. Step 3: Cross multiply
    55,064.61x = 75,989.16 × 29,914.11
  4. Step 4: Simplify right side
    55,064.61x = 2,273,148,091.05
  5. Step 5: Solve for x
    x = 2,273,148,091.05/55,064.61
  6. Step 6: Final answer
    x = 41,281.47

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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.