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Finding the Fourth Proportional to 38,117.52, 52,604.10 and 23,009.94

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Solution

The fourth proportional to 38,117.52, 52,604.10 and 23,009.94 is: 31,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.52 : 52,604.10 = 23,009.94 : x
  2. Step 2: Convert to fraction form
    38,117.52/52,604.10 = 23,009.94/x
  3. Step 3: Cross multiply
    38,117.52x = 52,604.10 × 23,009.94
  4. Step 4: Simplify right side
    38,117.52x = 1,210,417,184.75
  5. Step 5: Solve for x
    x = 1,210,417,184.75/38,117.52
  6. Step 6: Final answer
    x = 31,754.88

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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.