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Finding the Fourth Proportional to 115,902.58, 173,878.85 and 35,938.94

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Solution

The fourth proportional to 115,902.58, 173,878.85 and 35,938.94 is: 53,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,902.58 : 173,878.85 = 35,938.94 : x
  2. Step 2: Convert to fraction form
    115,902.58/173,878.85 = 35,938.94/x
  3. Step 3: Cross multiply
    115,902.58x = 173,878.85 × 35,938.94
  4. Step 4: Simplify right side
    115,902.58x = 6,249,021,467.57
  5. Step 5: Solve for x
    x = 6,249,021,467.57/115,902.58
  6. Step 6: Final answer
    x = 53,916.15

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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.