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Finding the Fourth Proportional to 42,365.50, 63,548.26 and 11,200.76

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Solution

The fourth proportional to 42,365.50, 63,548.26 and 11,200.76 is: 16,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.50 : 63,548.26 = 11,200.76 : x
  2. Step 2: Convert to fraction form
    42,365.50/63,548.26 = 11,200.76/x
  3. Step 3: Cross multiply
    42,365.50x = 63,548.26 × 11,200.76
  4. Step 4: Simplify right side
    42,365.50x = 711,788,808.68
  5. Step 5: Solve for x
    x = 711,788,808.68/42,365.50
  6. Step 6: Final answer
    x = 16,801.14

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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.