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Finding the Fourth Proportional to 58,465.76, 87,711.60 and 27,284

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Solution

The fourth proportional to 58,465.76, 87,711.60 and 27,284 is: 40,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,465.76 : 87,711.60 = 27,284 : x
  2. Step 2: Convert to fraction form
    58,465.76/87,711.60 = 27,284/x
  3. Step 3: Cross multiply
    58,465.76x = 87,711.60 × 27,284
  4. Step 4: Simplify right side
    58,465.76x = 2,393,123,294.40
  5. Step 5: Solve for x
    x = 2,393,123,294.40/58,465.76
  6. Step 6: Final answer
    x = 40,932.05

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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.