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Finding the Fourth Proportional to 31,184.84, 46,776.59 and 10,124.84

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Solution

The fourth proportional to 31,184.84, 46,776.59 and 10,124.84 is: 15,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.84 : 46,776.59 = 10,124.84 : x
  2. Step 2: Convert to fraction form
    31,184.84/46,776.59 = 10,124.84/x
  3. Step 3: Cross multiply
    31,184.84x = 46,776.59 × 10,124.84
  4. Step 4: Simplify right side
    31,184.84x = 473,605,204.99
  5. Step 5: Solve for x
    x = 473,605,204.99/31,184.84
  6. Step 6: Final answer
    x = 15,187.04

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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.