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Finding the Fourth Proportional to 38,217.51, 52,646.04 and 32,534.01

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Solution

The fourth proportional to 38,217.51, 52,646.04 and 32,534.01 is: 44,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217.51 : 52,646.04 = 32,534.01 : x
  2. Step 2: Convert to fraction form
    38,217.51/52,646.04 = 32,534.01/x
  3. Step 3: Cross multiply
    38,217.51x = 52,646.04 × 32,534.01
  4. Step 4: Simplify right side
    38,217.51x = 1,712,786,791.82
  5. Step 5: Solve for x
    x = 1,712,786,791.82/38,217.51
  6. Step 6: Final answer
    x = 44,816.81

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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.