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Finding the Fourth Proportional to 34,289.60, 51,425.40 and 14,558

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Solution

The fourth proportional to 34,289.60, 51,425.40 and 14,558 is: 21,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,289.60 : 51,425.40 = 14,558 : x
  2. Step 2: Convert to fraction form
    34,289.60/51,425.40 = 14,558/x
  3. Step 3: Cross multiply
    34,289.60x = 51,425.40 × 14,558
  4. Step 4: Simplify right side
    34,289.60x = 748,650,973.20
  5. Step 5: Solve for x
    x = 748,650,973.20/34,289.60
  6. Step 6: Final answer
    x = 21,833.18

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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.