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Finding the Fourth Proportional to 29,084.13, 40,151.32 and 19,574.02

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Solution

The fourth proportional to 29,084.13, 40,151.32 and 19,574.02 is: 27,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084.13 : 40,151.32 = 19,574.02 : x
  2. Step 2: Convert to fraction form
    29,084.13/40,151.32 = 19,574.02/x
  3. Step 3: Cross multiply
    29,084.13x = 40,151.32 × 19,574.02
  4. Step 4: Simplify right side
    29,084.13x = 785,922,740.71
  5. Step 5: Solve for x
    x = 785,922,740.71/29,084.13
  6. Step 6: Final answer
    x = 27,022.39

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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.