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Finding the Fourth Proportional to 29,284.32, 40,416 and 22,564.48

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Solution

The fourth proportional to 29,284.32, 40,416 and 22,564.48 is: 31,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,284.32 : 40,416 = 22,564.48 : x
  2. Step 2: Convert to fraction form
    29,284.32/40,416 = 22,564.48/x
  3. Step 3: Cross multiply
    29,284.32x = 40,416 × 22,564.48
  4. Step 4: Simplify right side
    29,284.32x = 911,966,023.68
  5. Step 5: Solve for x
    x = 911,966,023.68/29,284.32
  6. Step 6: Final answer
    x = 31,141.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.