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Finding the Fourth Proportional to 27,032, 37,308.48 and 15,854.08

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Solution

The fourth proportional to 27,032, 37,308.48 and 15,854.08 is: 21,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,032 : 37,308.48 = 15,854.08 : x
  2. Step 2: Convert to fraction form
    27,032/37,308.48 = 15,854.08/x
  3. Step 3: Cross multiply
    27,032x = 37,308.48 × 15,854.08
  4. Step 4: Simplify right side
    27,032x = 591,491,626.60
  5. Step 5: Solve for x
    x = 591,491,626.60/27,032
  6. Step 6: Final answer
    x = 21,881.16

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1.5x scale

Why These Related Problems?

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