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Finding the Fourth Proportional to 48,295, 66,647.34 and 28,165.84

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Solution

The fourth proportional to 48,295, 66,647.34 and 28,165.84 is: 38,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,295 : 66,647.34 = 28,165.84 : x
  2. Step 2: Convert to fraction form
    48,295/66,647.34 = 28,165.84/x
  3. Step 3: Cross multiply
    48,295x = 66,647.34 × 28,165.84
  4. Step 4: Simplify right side
    48,295x = 1,877,178,314.87
  5. Step 5: Solve for x
    x = 1,877,178,314.87/48,295
  6. Step 6: Final answer
    x = 38,869.00

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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.