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Finding the Fourth Proportional to 41,145.84, 61,718.85 and 14,869.14

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Solution

The fourth proportional to 41,145.84, 61,718.85 and 14,869.14 is: 22,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,145.84 : 61,718.85 = 14,869.14 : x
  2. Step 2: Convert to fraction form
    41,145.84/61,718.85 = 14,869.14/x
  3. Step 3: Cross multiply
    41,145.84x = 61,718.85 × 14,869.14
  4. Step 4: Simplify right side
    41,145.84x = 917,706,221.29
  5. Step 5: Solve for x
    x = 917,706,221.29/41,145.84
  6. Step 6: Final answer
    x = 22,303.74

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Why These Related Problems?

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