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Finding the Fourth Proportional to 34,070.48, 51,098.04 and 9,448.40

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Solution

The fourth proportional to 34,070.48, 51,098.04 and 9,448.40 is: 14,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070.48 : 51,098.04 = 9,448.40 : x
  2. Step 2: Convert to fraction form
    34,070.48/51,098.04 = 9,448.40/x
  3. Step 3: Cross multiply
    34,070.48x = 51,098.04 × 9,448.40
  4. Step 4: Simplify right side
    34,070.48x = 482,794,721.14
  5. Step 5: Solve for x
    x = 482,794,721.14/34,070.48
  6. Step 6: Final answer
    x = 14,170.47

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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.