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Finding the Fourth Proportional to 34,005.09, 51,007.55 and 9,045.14

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Solution

The fourth proportional to 34,005.09, 51,007.55 and 9,045.14 is: 13,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.09 : 51,007.55 = 9,045.14 : x
  2. Step 2: Convert to fraction form
    34,005.09/51,007.55 = 9,045.14/x
  3. Step 3: Cross multiply
    34,005.09x = 51,007.55 × 9,045.14
  4. Step 4: Simplify right side
    34,005.09x = 461,370,130.54
  5. Step 5: Solve for x
    x = 461,370,130.54/34,005.09
  6. Step 6: Final answer
    x = 13,567.68

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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.