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Finding the Fourth Proportional to 38,678.50, 58,023.29 and 14,671.63

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Solution

The fourth proportional to 38,678.50, 58,023.29 and 14,671.63 is: 22,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678.50 : 58,023.29 = 14,671.63 : x
  2. Step 2: Convert to fraction form
    38,678.50/58,023.29 = 14,671.63/x
  3. Step 3: Cross multiply
    38,678.50x = 58,023.29 × 14,671.63
  4. Step 4: Simplify right side
    38,678.50x = 851,296,242.26
  5. Step 5: Solve for x
    x = 851,296,242.26/38,678.50
  6. Step 6: Final answer
    x = 22,009.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.