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Finding the Fourth Proportional to 46,935.76, 64,771.34 and 28,077.34

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Solution

The fourth proportional to 46,935.76, 64,771.34 and 28,077.34 is: 38,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,935.76 : 64,771.34 = 28,077.34 : x
  2. Step 2: Convert to fraction form
    46,935.76/64,771.34 = 28,077.34/x
  3. Step 3: Cross multiply
    46,935.76x = 64,771.34 × 28,077.34
  4. Step 4: Simplify right side
    46,935.76x = 1,818,606,935.44
  5. Step 5: Solve for x
    x = 1,818,606,935.44/46,935.76
  6. Step 6: Final answer
    x = 38,746.72

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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.