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Finding the Fourth Proportional to 110,557.59, 165,836.42 and 40,398.63

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Solution

The fourth proportional to 110,557.59, 165,836.42 and 40,398.63 is: 60,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,557.59 : 165,836.42 = 40,398.63 : x
  2. Step 2: Convert to fraction form
    110,557.59/165,836.42 = 40,398.63/x
  3. Step 3: Cross multiply
    110,557.59x = 165,836.42 × 40,398.63
  4. Step 4: Simplify right side
    110,557.59x = 6,699,563,970.11
  5. Step 5: Solve for x
    x = 6,699,563,970.11/110,557.59
  6. Step 6: Final answer
    x = 60,597.96

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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.