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Finding the Fourth Proportional to 46,577.50, 64,293.15 and 27,714.22

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Solution

The fourth proportional to 46,577.50, 64,293.15 and 27,714.22 is: 38,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,577.50 : 64,293.15 = 27,714.22 : x
  2. Step 2: Convert to fraction form
    46,577.50/64,293.15 = 27,714.22/x
  3. Step 3: Cross multiply
    46,577.50x = 64,293.15 × 27,714.22
  4. Step 4: Simplify right side
    46,577.50x = 1,781,834,503.59
  5. Step 5: Solve for x
    x = 1,781,834,503.59/46,577.50
  6. Step 6: Final answer
    x = 38,255.26

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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.