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Finding the Fourth Proportional to 34,513.62, 47,627.64 and 19,406.88

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Solution

The fourth proportional to 34,513.62, 47,627.64 and 19,406.88 is: 26,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.62 : 47,627.64 = 19,406.88 : x
  2. Step 2: Convert to fraction form
    34,513.62/47,627.64 = 19,406.88/x
  3. Step 3: Cross multiply
    34,513.62x = 47,627.64 × 19,406.88
  4. Step 4: Simplify right side
    34,513.62x = 924,303,894.16
  5. Step 5: Solve for x
    x = 924,303,894.16/34,513.62
  6. Step 6: Final answer
    x = 26,780.84

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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.