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Finding the Fourth Proportional to 52,760.71, 72,816.74 and 30,094.51

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Solution

The fourth proportional to 52,760.71, 72,816.74 and 30,094.51 is: 41,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,760.71 : 72,816.74 = 30,094.51 : x
  2. Step 2: Convert to fraction form
    52,760.71/72,816.74 = 30,094.51/x
  3. Step 3: Cross multiply
    52,760.71x = 72,816.74 × 30,094.51
  4. Step 4: Simplify right side
    52,760.71x = 2,191,384,110.10
  5. Step 5: Solve for x
    x = 2,191,384,110.10/52,760.71
  6. Step 6: Final answer
    x = 41,534.39

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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.