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Finding the Fourth Proportional to 34,038.10, 51,059.63 and 9,078.05

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Solution

The fourth proportional to 34,038.10, 51,059.63 and 9,078.05 is: 13,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.10 : 51,059.63 = 9,078.05 : x
  2. Step 2: Convert to fraction form
    34,038.10/51,059.63 = 9,078.05/x
  3. Step 3: Cross multiply
    34,038.10x = 51,059.63 × 9,078.05
  4. Step 4: Simplify right side
    34,038.10x = 463,521,828.73
  5. Step 5: Solve for x
    x = 463,521,828.73/34,038.10
  6. Step 6: Final answer
    x = 13,617.74

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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.