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Finding the Fourth Proportional to 124,352.32, 186,488.16 and 41,224

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Solution

The fourth proportional to 124,352.32, 186,488.16 and 41,224 is: 61,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,352.32 : 186,488.16 = 41,224 : x
  2. Step 2: Convert to fraction form
    124,352.32/186,488.16 = 41,224/x
  3. Step 3: Cross multiply
    124,352.32x = 186,488.16 × 41,224
  4. Step 4: Simplify right side
    124,352.32x = 7,687,787,907.84
  5. Step 5: Solve for x
    x = 7,687,787,907.84/124,352.32
  6. Step 6: Final answer
    x = 61,822.63

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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.