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Finding the Fourth Proportional to 29,878.88, 44,818.34 and 9,102.38

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Solution

The fourth proportional to 29,878.88, 44,818.34 and 9,102.38 is: 13,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.88 : 44,818.34 = 9,102.38 : x
  2. Step 2: Convert to fraction form
    29,878.88/44,818.34 = 9,102.38/x
  3. Step 3: Cross multiply
    29,878.88x = 44,818.34 × 9,102.38
  4. Step 4: Simplify right side
    29,878.88x = 407,953,292.05
  5. Step 5: Solve for x
    x = 407,953,292.05/29,878.88
  6. Step 6: Final answer
    x = 13,653.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.