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Finding the Fourth Proportional to 35,296.12, 48,709.20 and 19,382

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Solution

The fourth proportional to 35,296.12, 48,709.20 and 19,382 is: 26,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296.12 : 48,709.20 = 19,382 : x
  2. Step 2: Convert to fraction form
    35,296.12/48,709.20 = 19,382/x
  3. Step 3: Cross multiply
    35,296.12x = 48,709.20 × 19,382
  4. Step 4: Simplify right side
    35,296.12x = 944,081,714.40
  5. Step 5: Solve for x
    x = 944,081,714.40/35,296.12
  6. Step 6: Final answer
    x = 26,747.46

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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.