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Finding the Fourth Proportional to 30,557.20, 45,836.88 and 9,778

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Solution

The fourth proportional to 30,557.20, 45,836.88 and 9,778 is: 14,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.20 : 45,836.88 = 9,778 : x
  2. Step 2: Convert to fraction form
    30,557.20/45,836.88 = 9,778/x
  3. Step 3: Cross multiply
    30,557.20x = 45,836.88 × 9,778
  4. Step 4: Simplify right side
    30,557.20x = 448,193,012.64
  5. Step 5: Solve for x
    x = 448,193,012.64/30,557.20
  6. Step 6: Final answer
    x = 14,667.35

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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.