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Finding the Fourth Proportional to 58,780, 81,116.40 and 32,284

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Solution

The fourth proportional to 58,780, 81,116.40 and 32,284 is: 44,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,780 : 81,116.40 = 32,284 : x
  2. Step 2: Convert to fraction form
    58,780/81,116.40 = 32,284/x
  3. Step 3: Cross multiply
    58,780x = 81,116.40 × 32,284
  4. Step 4: Simplify right side
    58,780x = 2,618,761,857.60
  5. Step 5: Solve for x
    x = 2,618,761,857.60/58,780
  6. Step 6: Final answer
    x = 44,551.92

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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.