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Finding the Fourth Proportional to 29,854.98, 44,782.07 and 9,078.48

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Solution

The fourth proportional to 29,854.98, 44,782.07 and 9,078.48 is: 13,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.98 : 44,782.07 = 9,078.48 : x
  2. Step 2: Convert to fraction form
    29,854.98/44,782.07 = 9,078.48/x
  3. Step 3: Cross multiply
    29,854.98x = 44,782.07 × 9,078.48
  4. Step 4: Simplify right side
    29,854.98x = 406,553,081.46
  5. Step 5: Solve for x
    x = 406,553,081.46/29,854.98
  6. Step 6: Final answer
    x = 13,617.60

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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.