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Finding the Fourth Proportional to 47,077.64, 64,966.85 and 28,214.77

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Solution

The fourth proportional to 47,077.64, 64,966.85 and 28,214.77 is: 38,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,077.64 : 64,966.85 = 28,214.77 : x
  2. Step 2: Convert to fraction form
    47,077.64/64,966.85 = 28,214.77/x
  3. Step 3: Cross multiply
    47,077.64x = 64,966.85 × 28,214.77
  4. Step 4: Simplify right side
    47,077.64x = 1,833,024,730.37
  5. Step 5: Solve for x
    x = 1,833,024,730.37/47,077.64
  6. Step 6: Final answer
    x = 38,936.21

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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.