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Finding the Fourth Proportional to 27,419.48, 41,129.05 and 7,698.05

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Solution

The fourth proportional to 27,419.48, 41,129.05 and 7,698.05 is: 11,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.48 : 41,129.05 = 7,698.05 : x
  2. Step 2: Convert to fraction form
    27,419.48/41,129.05 = 7,698.05/x
  3. Step 3: Cross multiply
    27,419.48x = 41,129.05 × 7,698.05
  4. Step 4: Simplify right side
    27,419.48x = 316,613,483.35
  5. Step 5: Solve for x
    x = 316,613,483.35/27,419.48
  6. Step 6: Final answer
    x = 11,547.03

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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.