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Finding the Fourth Proportional to 34,005.60, 51,001.02 and 10,629

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Solution

The fourth proportional to 34,005.60, 51,001.02 and 10,629 is: 15,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.60 : 51,001.02 = 10,629 : x
  2. Step 2: Convert to fraction form
    34,005.60/51,001.02 = 10,629/x
  3. Step 3: Cross multiply
    34,005.60x = 51,001.02 × 10,629
  4. Step 4: Simplify right side
    34,005.60x = 542,089,841.58
  5. Step 5: Solve for x
    x = 542,089,841.58/34,005.60
  6. Step 6: Final answer
    x = 15,941.19

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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.