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Finding the Fourth Proportional to 42,770.61, 64,151.78 and 13,180.50

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Solution

The fourth proportional to 42,770.61, 64,151.78 and 13,180.50 is: 19,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.61 : 64,151.78 = 13,180.50 : x
  2. Step 2: Convert to fraction form
    42,770.61/64,151.78 = 13,180.50/x
  3. Step 3: Cross multiply
    42,770.61x = 64,151.78 × 13,180.50
  4. Step 4: Simplify right side
    42,770.61x = 845,552,536.29
  5. Step 5: Solve for x
    x = 845,552,536.29/42,770.61
  6. Step 6: Final answer
    x = 19,769.48

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