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Finding the Fourth Proportional to 38,510.44, 53,148.35 and 27,764.17

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Solution

The fourth proportional to 38,510.44, 53,148.35 and 27,764.17 is: 38,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.44 : 53,148.35 = 27,764.17 : x
  2. Step 2: Convert to fraction form
    38,510.44/53,148.35 = 27,764.17/x
  3. Step 3: Cross multiply
    38,510.44x = 53,148.35 × 27,764.17
  4. Step 4: Simplify right side
    38,510.44x = 1,475,619,824.62
  5. Step 5: Solve for x
    x = 1,475,619,824.62/38,510.44
  6. Step 6: Final answer
    x = 38,317.40

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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.