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Finding the Fourth Proportional to 46,335.44, 69,513.40 and 21,698

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Solution

The fourth proportional to 46,335.44, 69,513.40 and 21,698 is: 32,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,335.44 : 69,513.40 = 21,698 : x
  2. Step 2: Convert to fraction form
    46,335.44/69,513.40 = 21,698/x
  3. Step 3: Cross multiply
    46,335.44x = 69,513.40 × 21,698
  4. Step 4: Simplify right side
    46,335.44x = 1,508,301,753.20
  5. Step 5: Solve for x
    x = 1,508,301,753.20/46,335.44
  6. Step 6: Final answer
    x = 32,551.80

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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.