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Finding the Fourth Proportional to 46,951.40, 64,781.37 and 27,835.65

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Solution

The fourth proportional to 46,951.40, 64,781.37 and 27,835.65 is: 38,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,951.40 : 64,781.37 = 27,835.65 : x
  2. Step 2: Convert to fraction form
    46,951.40/64,781.37 = 27,835.65/x
  3. Step 3: Cross multiply
    46,951.40x = 64,781.37 × 27,835.65
  4. Step 4: Simplify right side
    46,951.40x = 1,803,231,541.84
  5. Step 5: Solve for x
    x = 1,803,231,541.84/46,951.40
  6. Step 6: Final answer
    x = 38,406.34

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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.