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Finding the Fourth Proportional to 48,043, 72,090.44 and 23,419

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Solution

The fourth proportional to 48,043, 72,090.44 and 23,419 is: 35,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043 : 72,090.44 = 23,419 : x
  2. Step 2: Convert to fraction form
    48,043/72,090.44 = 23,419/x
  3. Step 3: Cross multiply
    48,043x = 72,090.44 × 23,419
  4. Step 4: Simplify right side
    48,043x = 1,688,286,014.36
  5. Step 5: Solve for x
    x = 1,688,286,014.36/48,043
  6. Step 6: Final answer
    x = 35,141.14

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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.