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Finding the Fourth Proportional to 52,401.69, 72,303.12 and 31,176.81

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Solution

The fourth proportional to 52,401.69, 72,303.12 and 31,176.81 is: 43,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,401.69 : 72,303.12 = 31,176.81 : x
  2. Step 2: Convert to fraction form
    52,401.69/72,303.12 = 31,176.81/x
  3. Step 3: Cross multiply
    52,401.69x = 72,303.12 × 31,176.81
  4. Step 4: Simplify right side
    52,401.69x = 2,254,180,634.65
  5. Step 5: Solve for x
    x = 2,254,180,634.65/52,401.69
  6. Step 6: Final answer
    x = 43,017.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.