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Finding the Fourth Proportional to 30,298.95, 45,444.11 and 9,519.75

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Solution

The fourth proportional to 30,298.95, 45,444.11 and 9,519.75 is: 14,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.95 : 45,444.11 = 9,519.75 : x
  2. Step 2: Convert to fraction form
    30,298.95/45,444.11 = 9,519.75/x
  3. Step 3: Cross multiply
    30,298.95x = 45,444.11 × 9,519.75
  4. Step 4: Simplify right side
    30,298.95x = 432,616,518.57
  5. Step 5: Solve for x
    x = 432,616,518.57/30,298.95
  6. Step 6: Final answer
    x = 14,278.27

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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.