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Finding the Fourth Proportional to 30,359.98, 45,541.34 and 9,298.49

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Solution

The fourth proportional to 30,359.98, 45,541.34 and 9,298.49 is: 13,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.98 : 45,541.34 = 9,298.49 : x
  2. Step 2: Convert to fraction form
    30,359.98/45,541.34 = 9,298.49/x
  3. Step 3: Cross multiply
    30,359.98x = 45,541.34 × 9,298.49
  4. Step 4: Simplify right side
    30,359.98x = 423,465,708.82
  5. Step 5: Solve for x
    x = 423,465,708.82/30,359.98
  6. Step 6: Final answer
    x = 13,948.15

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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.