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Finding the Fourth Proportional to 38,113, 57,173.46 and 10,411

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Solution

The fourth proportional to 38,113, 57,173.46 and 10,411 is: 15,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113 : 57,173.46 = 10,411 : x
  2. Step 2: Convert to fraction form
    38,113/57,173.46 = 10,411/x
  3. Step 3: Cross multiply
    38,113x = 57,173.46 × 10,411
  4. Step 4: Simplify right side
    38,113x = 595,232,892.06
  5. Step 5: Solve for x
    x = 595,232,892.06/38,113
  6. Step 6: Final answer
    x = 15,617.58

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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.