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Finding the Fourth Proportional to 47,642.72, 65,736.36 and 27,498.29

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Solution

The fourth proportional to 47,642.72, 65,736.36 and 27,498.29 is: 37,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642.72 : 65,736.36 = 27,498.29 : x
  2. Step 2: Convert to fraction form
    47,642.72/65,736.36 = 27,498.29/x
  3. Step 3: Cross multiply
    47,642.72x = 65,736.36 × 27,498.29
  4. Step 4: Simplify right side
    47,642.72x = 1,807,637,162.14
  5. Step 5: Solve for x
    x = 1,807,637,162.14/47,642.72
  6. Step 6: Final answer
    x = 37,941.52

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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.