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Finding the Fourth Proportional to 46,921.68, 70,387.10 and 13,642

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Solution

The fourth proportional to 46,921.68, 70,387.10 and 13,642 is: 20,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,921.68 : 70,387.10 = 13,642 : x
  2. Step 2: Convert to fraction form
    46,921.68/70,387.10 = 13,642/x
  3. Step 3: Cross multiply
    46,921.68x = 70,387.10 × 13,642
  4. Step 4: Simplify right side
    46,921.68x = 960,220,818.20
  5. Step 5: Solve for x
    x = 960,220,818.20/46,921.68
  6. Step 6: Final answer
    x = 20,464.33

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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.