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Finding the Fourth Proportional to 47,166.64, 65,081.28 and 28,052.80

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Solution

The fourth proportional to 47,166.64, 65,081.28 and 28,052.80 is: 38,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,166.64 : 65,081.28 = 28,052.80 : x
  2. Step 2: Convert to fraction form
    47,166.64/65,081.28 = 28,052.80/x
  3. Step 3: Cross multiply
    47,166.64x = 65,081.28 × 28,052.80
  4. Step 4: Simplify right side
    47,166.64x = 1,825,712,131.58
  5. Step 5: Solve for x
    x = 1,825,712,131.58/47,166.64
  6. Step 6: Final answer
    x = 38,707.70

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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.