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Finding the Fourth Proportional to 46,796.39, 64,592.28 and 27,682.81

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Solution

The fourth proportional to 46,796.39, 64,592.28 and 27,682.81 is: 38,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,796.39 : 64,592.28 = 27,682.81 : x
  2. Step 2: Convert to fraction form
    46,796.39/64,592.28 = 27,682.81/x
  3. Step 3: Cross multiply
    46,796.39x = 64,592.28 × 27,682.81
  4. Step 4: Simplify right side
    46,796.39x = 1,788,095,938.70
  5. Step 5: Solve for x
    x = 1,788,095,938.70/46,796.39
  6. Step 6: Final answer
    x = 38,210.12

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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.