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Finding the Fourth Proportional to 31,104.84, 46,459.02 and 28,138.74

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Solution

The fourth proportional to 31,104.84, 46,459.02 and 28,138.74 is: 42,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.84 : 46,459.02 = 28,138.74 : x
  2. Step 2: Convert to fraction form
    31,104.84/46,459.02 = 28,138.74/x
  3. Step 3: Cross multiply
    31,104.84x = 46,459.02 × 28,138.74
  4. Step 4: Simplify right side
    31,104.84x = 1,307,298,284.43
  5. Step 5: Solve for x
    x = 1,307,298,284.43/31,104.84
  6. Step 6: Final answer
    x = 42,028.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.