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Finding the Fourth Proportional to 46,993.60, 70,489.92 and 15,828.64

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Solution

The fourth proportional to 46,993.60, 70,489.92 and 15,828.64 is: 23,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993.60 : 70,489.92 = 15,828.64 : x
  2. Step 2: Convert to fraction form
    46,993.60/70,489.92 = 15,828.64/x
  3. Step 3: Cross multiply
    46,993.60x = 70,489.92 × 15,828.64
  4. Step 4: Simplify right side
    46,993.60x = 1,115,759,567.31
  5. Step 5: Solve for x
    x = 1,115,759,567.31/46,993.60
  6. Step 6: Final answer
    x = 23,742.80

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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.