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Finding the Fourth Proportional to 39,196, 54,090.48 and 21,532

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Solution

The fourth proportional to 39,196, 54,090.48 and 21,532 is: 29,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196 : 54,090.48 = 21,532 : x
  2. Step 2: Convert to fraction form
    39,196/54,090.48 = 21,532/x
  3. Step 3: Cross multiply
    39,196x = 54,090.48 × 21,532
  4. Step 4: Simplify right side
    39,196x = 1,164,676,215.36
  5. Step 5: Solve for x
    x = 1,164,676,215.36/39,196
  6. Step 6: Final answer
    x = 29,714.16

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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.