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Finding the Fourth Proportional to 52,386.32, 72,285 and 30,026

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Solution

The fourth proportional to 52,386.32, 72,285 and 30,026 is: 41,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,386.32 : 72,285 = 30,026 : x
  2. Step 2: Convert to fraction form
    52,386.32/72,285 = 30,026/x
  3. Step 3: Cross multiply
    52,386.32x = 72,285 × 30,026
  4. Step 4: Simplify right side
    52,386.32x = 2,170,429,410
  5. Step 5: Solve for x
    x = 2,170,429,410/52,386.32
  6. Step 6: Final answer
    x = 41,431.22

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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.