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Finding the Fourth Proportional to 29,296.25, 40,428.81 and 15,867.50

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Solution

The fourth proportional to 29,296.25, 40,428.81 and 15,867.50 is: 21,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296.25 : 40,428.81 = 15,867.50 : x
  2. Step 2: Convert to fraction form
    29,296.25/40,428.81 = 15,867.50/x
  3. Step 3: Cross multiply
    29,296.25x = 40,428.81 × 15,867.50
  4. Step 4: Simplify right side
    29,296.25x = 641,504,032.64
  5. Step 5: Solve for x
    x = 641,504,032.64/29,296.25
  6. Step 6: Final answer
    x = 21,897.14

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1.5x scale

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.