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Finding the Fourth Proportional to 27,751.46, 41,627.59 and 9,031.60

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Solution

The fourth proportional to 27,751.46, 41,627.59 and 9,031.60 is: 13,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.46 : 41,627.59 = 9,031.60 : x
  2. Step 2: Convert to fraction form
    27,751.46/41,627.59 = 9,031.60/x
  3. Step 3: Cross multiply
    27,751.46x = 41,627.59 × 9,031.60
  4. Step 4: Simplify right side
    27,751.46x = 375,963,615.20
  5. Step 5: Solve for x
    x = 375,963,615.20/27,751.46
  6. Step 6: Final answer
    x = 13,547.52

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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.