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Finding the Fourth Proportional to 35,711.25, 49,281.57 and 19,798.08

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Solution

The fourth proportional to 35,711.25, 49,281.57 and 19,798.08 is: 27,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.25 : 49,281.57 = 19,798.08 : x
  2. Step 2: Convert to fraction form
    35,711.25/49,281.57 = 19,798.08/x
  3. Step 3: Cross multiply
    35,711.25x = 49,281.57 × 19,798.08
  4. Step 4: Simplify right side
    35,711.25x = 975,680,465.39
  5. Step 5: Solve for x
    x = 975,680,465.39/35,711.25
  6. Step 6: Final answer
    x = 27,321.38

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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.