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Finding the Fourth Proportional to 58,428.64, 87,634.32 and 21,484

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Solution

The fourth proportional to 58,428.64, 87,634.32 and 21,484 is: 32,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,428.64 : 87,634.32 = 21,484 : x
  2. Step 2: Convert to fraction form
    58,428.64/87,634.32 = 21,484/x
  3. Step 3: Cross multiply
    58,428.64x = 87,634.32 × 21,484
  4. Step 4: Simplify right side
    58,428.64x = 1,882,735,730.88
  5. Step 5: Solve for x
    x = 1,882,735,730.88/58,428.64
  6. Step 6: Final answer
    x = 32,222.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.