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Finding the Fourth Proportional to 35,100, 48,437.60 and 19,184.40

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Solution

The fourth proportional to 35,100, 48,437.60 and 19,184.40 is: 26,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,100 : 48,437.60 = 19,184.40 : x
  2. Step 2: Convert to fraction form
    35,100/48,437.60 = 19,184.40/x
  3. Step 3: Cross multiply
    35,100x = 48,437.60 × 19,184.40
  4. Step 4: Simplify right side
    35,100x = 929,246,293.44
  5. Step 5: Solve for x
    x = 929,246,293.44/35,100
  6. Step 6: Final answer
    x = 26,474.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.