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Finding the Fourth Proportional to 46,871.62, 64,713.01 and 41,827.16

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Solution

The fourth proportional to 46,871.62, 64,713.01 and 41,827.16 is: 57,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,871.62 : 64,713.01 = 41,827.16 : x
  2. Step 2: Convert to fraction form
    46,871.62/64,713.01 = 41,827.16/x
  3. Step 3: Cross multiply
    46,871.62x = 64,713.01 × 41,827.16
  4. Step 4: Simplify right side
    46,871.62x = 2,706,761,423.35
  5. Step 5: Solve for x
    x = 2,706,761,423.35/46,871.62
  6. Step 6: Final answer
    x = 57,748.41

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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.