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Finding the Fourth Proportional to 31,005.64, 46,511.50 and 12,284.92

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Solution

The fourth proportional to 31,005.64, 46,511.50 and 12,284.92 is: 18,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.64 : 46,511.50 = 12,284.92 : x
  2. Step 2: Convert to fraction form
    31,005.64/46,511.50 = 12,284.92/x
  3. Step 3: Cross multiply
    31,005.64x = 46,511.50 × 12,284.92
  4. Step 4: Simplify right side
    31,005.64x = 571,390,056.58
  5. Step 5: Solve for x
    x = 571,390,056.58/31,005.64
  6. Step 6: Final answer
    x = 18,428.58

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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.