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Finding the Fourth Proportional to 58,257, 87,197.54 and 30,138.33

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Solution

The fourth proportional to 58,257, 87,197.54 and 30,138.33 is: 45,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,257 : 87,197.54 = 30,138.33 : x
  2. Step 2: Convert to fraction form
    58,257/87,197.54 = 30,138.33/x
  3. Step 3: Cross multiply
    58,257x = 87,197.54 × 30,138.33
  4. Step 4: Simplify right side
    58,257x = 2,627,988,085.02
  5. Step 5: Solve for x
    x = 2,627,988,085.02/58,257
  6. Step 6: Final answer
    x = 45,110.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.