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Finding the Fourth Proportional to 30,554.08, 45,834 and 9,494.35

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Solution

The fourth proportional to 30,554.08, 45,834 and 9,494.35 is: 14,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,554.08 : 45,834 = 9,494.35 : x
  2. Step 2: Convert to fraction form
    30,554.08/45,834 = 9,494.35/x
  3. Step 3: Cross multiply
    30,554.08x = 45,834 × 9,494.35
  4. Step 4: Simplify right side
    30,554.08x = 435,164,037.90
  5. Step 5: Solve for x
    x = 435,164,037.90/30,554.08
  6. Step 6: Final answer
    x = 14,242.42

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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.