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Finding the Fourth Proportional to 37,506.53, 51,781.47 and 23,378.51

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Solution

The fourth proportional to 37,506.53, 51,781.47 and 23,378.51 is: 32,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,506.53 : 51,781.47 = 23,378.51 : x
  2. Step 2: Convert to fraction form
    37,506.53/51,781.47 = 23,378.51/x
  3. Step 3: Cross multiply
    37,506.53x = 51,781.47 × 23,378.51
  4. Step 4: Simplify right side
    37,506.53x = 1,210,573,614.21
  5. Step 5: Solve for x
    x = 1,210,573,614.21/37,506.53
  6. Step 6: Final answer
    x = 32,276.34

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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.