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Finding the Fourth Proportional to 61,574.28, 84,972.64 and 34,716.84

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Solution

The fourth proportional to 61,574.28, 84,972.64 and 34,716.84 is: 47,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,574.28 : 84,972.64 = 34,716.84 : x
  2. Step 2: Convert to fraction form
    61,574.28/84,972.64 = 34,716.84/x
  3. Step 3: Cross multiply
    61,574.28x = 84,972.64 × 34,716.84
  4. Step 4: Simplify right side
    61,574.28x = 2,949,981,547.26
  5. Step 5: Solve for x
    x = 2,949,981,547.26/61,574.28
  6. Step 6: Final answer
    x = 47,909.31

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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.