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Finding the Fourth Proportional to 104,902.76, 157,367.88 and 38,374.22

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Solution

The fourth proportional to 104,902.76, 157,367.88 and 38,374.22 is: 57,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,902.76 : 157,367.88 = 38,374.22 : x
  2. Step 2: Convert to fraction form
    104,902.76/157,367.88 = 38,374.22/x
  3. Step 3: Cross multiply
    104,902.76x = 157,367.88 × 38,374.22
  4. Step 4: Simplify right side
    104,902.76x = 6,038,869,648.05
  5. Step 5: Solve for x
    x = 6,038,869,648.05/104,902.76
  6. Step 6: Final answer
    x = 57,566.36

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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.