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Finding the Fourth Proportional to 35,298, 48,710.40 and 19,382.40

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Solution

The fourth proportional to 35,298, 48,710.40 and 19,382.40 is: 26,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,298 : 48,710.40 = 19,382.40 : x
  2. Step 2: Convert to fraction form
    35,298/48,710.40 = 19,382.40/x
  3. Step 3: Cross multiply
    35,298x = 48,710.40 × 19,382.40
  4. Step 4: Simplify right side
    35,298x = 944,124,456.96
  5. Step 5: Solve for x
    x = 944,124,456.96/35,298
  6. Step 6: Final answer
    x = 26,747.25

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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.