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Finding the Fourth Proportional to 32,798.70, 45,216 and 27,742.48

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Solution

The fourth proportional to 32,798.70, 45,216 and 27,742.48 is: 38,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.70 : 45,216 = 27,742.48 : x
  2. Step 2: Convert to fraction form
    32,798.70/45,216 = 27,742.48/x
  3. Step 3: Cross multiply
    32,798.70x = 45,216 × 27,742.48
  4. Step 4: Simplify right side
    32,798.70x = 1,254,403,862.64
  5. Step 5: Solve for x
    x = 1,254,403,862.64/32,798.70
  6. Step 6: Final answer
    x = 38,245.54

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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.