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Finding the Fourth Proportional to 39,118.96, 53,984.16 and 21,214

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Solution

The fourth proportional to 39,118.96, 53,984.16 and 21,214 is: 29,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,118.96 : 53,984.16 = 21,214 : x
  2. Step 2: Convert to fraction form
    39,118.96/53,984.16 = 21,214/x
  3. Step 3: Cross multiply
    39,118.96x = 53,984.16 × 21,214
  4. Step 4: Simplify right side
    39,118.96x = 1,145,219,970.24
  5. Step 5: Solve for x
    x = 1,145,219,970.24/39,118.96
  6. Step 6: Final answer
    x = 29,275.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.