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Finding the Fourth Proportional to 30,205.42, 45,298.87 and 14,402.11

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Solution

The fourth proportional to 30,205.42, 45,298.87 and 14,402.11 is: 21,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.42 : 45,298.87 = 14,402.11 : x
  2. Step 2: Convert to fraction form
    30,205.42/45,298.87 = 14,402.11/x
  3. Step 3: Cross multiply
    30,205.42x = 45,298.87 × 14,402.11
  4. Step 4: Simplify right side
    30,205.42x = 652,399,308.62
  5. Step 5: Solve for x
    x = 652,399,308.62/30,205.42
  6. Step 6: Final answer
    x = 21,598.75

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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.