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Finding the Fourth Proportional to 34,316.50, 47,357.57 and 19,208.78

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Solution

The fourth proportional to 34,316.50, 47,357.57 and 19,208.78 is: 26,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316.50 : 47,357.57 = 19,208.78 : x
  2. Step 2: Convert to fraction form
    34,316.50/47,357.57 = 19,208.78/x
  3. Step 3: Cross multiply
    34,316.50x = 47,357.57 × 19,208.78
  4. Step 4: Simplify right side
    34,316.50x = 909,681,143.46
  5. Step 5: Solve for x
    x = 909,681,143.46/34,316.50
  6. Step 6: Final answer
    x = 26,508.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.