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Finding the Fourth Proportional to 103,411.74, 155,114.37 and 29,539.74

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Solution

The fourth proportional to 103,411.74, 155,114.37 and 29,539.74 is: 44,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.74 : 155,114.37 = 29,539.74 : x
  2. Step 2: Convert to fraction form
    103,411.74/155,114.37 = 29,539.74/x
  3. Step 3: Cross multiply
    103,411.74x = 155,114.37 × 29,539.74
  4. Step 4: Simplify right side
    103,411.74x = 4,582,038,160.06
  5. Step 5: Solve for x
    x = 4,582,038,160.06/103,411.74
  6. Step 6: Final answer
    x = 44,308.68

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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.