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Finding the Fourth Proportional to 49,878.48, 74,817.76 and 29,087.40

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Solution

The fourth proportional to 49,878.48, 74,817.76 and 29,087.40 is: 43,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.48 : 74,817.76 = 29,087.40 : x
  2. Step 2: Convert to fraction form
    49,878.48/74,817.76 = 29,087.40/x
  3. Step 3: Cross multiply
    49,878.48x = 74,817.76 × 29,087.40
  4. Step 4: Simplify right side
    49,878.48x = 2,176,254,112.22
  5. Step 5: Solve for x
    x = 2,176,254,112.22/49,878.48
  6. Step 6: Final answer
    x = 43,631.12

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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.