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Finding the Fourth Proportional to 46,671.40, 64,408.26 and 27,810.28

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Solution

The fourth proportional to 46,671.40, 64,408.26 and 27,810.28 is: 38,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,671.40 : 64,408.26 = 27,810.28 : x
  2. Step 2: Convert to fraction form
    46,671.40/64,408.26 = 27,810.28/x
  3. Step 3: Cross multiply
    46,671.40x = 64,408.26 × 27,810.28
  4. Step 4: Simplify right side
    46,671.40x = 1,791,211,744.91
  5. Step 5: Solve for x
    x = 1,791,211,744.91/46,671.40
  6. Step 6: Final answer
    x = 38,379.22

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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.