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Finding the Fourth Proportional to 46,806.40, 70,382.40 and 39,203.20

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Solution

The fourth proportional to 46,806.40, 70,382.40 and 39,203.20 is: 58,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.40 : 70,382.40 = 39,203.20 : x
  2. Step 2: Convert to fraction form
    46,806.40/70,382.40 = 39,203.20/x
  3. Step 3: Cross multiply
    46,806.40x = 70,382.40 × 39,203.20
  4. Step 4: Simplify right side
    46,806.40x = 2,759,215,303.68
  5. Step 5: Solve for x
    x = 2,759,215,303.68/46,806.40
  6. Step 6: Final answer
    x = 58,949.53

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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.