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Finding the Fourth Proportional to 60,780, 83,879.28 and 34,284

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Solution

The fourth proportional to 60,780, 83,879.28 and 34,284 is: 47,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,780 : 83,879.28 = 34,284 : x
  2. Step 2: Convert to fraction form
    60,780/83,879.28 = 34,284/x
  3. Step 3: Cross multiply
    60,780x = 83,879.28 × 34,284
  4. Step 4: Simplify right side
    60,780x = 2,875,717,235.52
  5. Step 5: Solve for x
    x = 2,875,717,235.52/60,780
  6. Step 6: Final answer
    x = 47,313.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.