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Finding the Fourth Proportional to 47,076.64, 64,965.47 and 28,213.77

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Solution

The fourth proportional to 47,076.64, 64,965.47 and 28,213.77 is: 38,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076.64 : 64,965.47 = 28,213.77 : x
  2. Step 2: Convert to fraction form
    47,076.64/64,965.47 = 28,213.77/x
  3. Step 3: Cross multiply
    47,076.64x = 64,965.47 × 28,213.77
  4. Step 4: Simplify right side
    47,076.64x = 1,832,920,602.53
  5. Step 5: Solve for x
    x = 1,832,920,602.53/47,076.64
  6. Step 6: Final answer
    x = 38,934.82

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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.