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Finding the Fourth Proportional to 46,998, 70,489.44 and 13,710.24

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Solution

The fourth proportional to 46,998, 70,489.44 and 13,710.24 is: 20,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,998 : 70,489.44 = 13,710.24 : x
  2. Step 2: Convert to fraction form
    46,998/70,489.44 = 13,710.24/x
  3. Step 3: Cross multiply
    46,998x = 70,489.44 × 13,710.24
  4. Step 4: Simplify right side
    46,998x = 966,427,139.87
  5. Step 5: Solve for x
    x = 966,427,139.87/46,998
  6. Step 6: Final answer
    x = 20,563.15

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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.