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Finding the Fourth Proportional to 34,646.14, 47,813.07 and 19,334.03

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Solution

The fourth proportional to 34,646.14, 47,813.07 and 19,334.03 is: 26,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.14 : 47,813.07 = 19,334.03 : x
  2. Step 2: Convert to fraction form
    34,646.14/47,813.07 = 19,334.03/x
  3. Step 3: Cross multiply
    34,646.14x = 47,813.07 × 19,334.03
  4. Step 4: Simplify right side
    34,646.14x = 924,419,329.77
  5. Step 5: Solve for x
    x = 924,419,329.77/34,646.14
  6. Step 6: Final answer
    x = 26,681.74

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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.