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Finding the Fourth Proportional to 52,423.51, 78,569.69 and 41,286.22

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Solution

The fourth proportional to 52,423.51, 78,569.69 and 41,286.22 is: 61,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,423.51 : 78,569.69 = 41,286.22 : x
  2. Step 2: Convert to fraction form
    52,423.51/78,569.69 = 41,286.22/x
  3. Step 3: Cross multiply
    52,423.51x = 78,569.69 × 41,286.22
  4. Step 4: Simplify right side
    52,423.51x = 3,243,845,506.67
  5. Step 5: Solve for x
    x = 3,243,845,506.67/52,423.51
  6. Step 6: Final answer
    x = 61,877.69

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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.