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Finding the Fourth Proportional to 34,780.18, 52,177.68 and 14,003.68

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Solution

The fourth proportional to 34,780.18, 52,177.68 and 14,003.68 is: 21,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.18 : 52,177.68 = 14,003.68 : x
  2. Step 2: Convert to fraction form
    34,780.18/52,177.68 = 14,003.68/x
  3. Step 3: Cross multiply
    34,780.18x = 52,177.68 × 14,003.68
  4. Step 4: Simplify right side
    34,780.18x = 730,679,533.86
  5. Step 5: Solve for x
    x = 730,679,533.86/34,780.18
  6. Step 6: Final answer
    x = 21,008.50

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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.