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Finding the Fourth Proportional to 30,272.08, 45,404.44 and 10,549

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Solution

The fourth proportional to 30,272.08, 45,404.44 and 10,549 is: 15,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.08 : 45,404.44 = 10,549 : x
  2. Step 2: Convert to fraction form
    30,272.08/45,404.44 = 10,549/x
  3. Step 3: Cross multiply
    30,272.08x = 45,404.44 × 10,549
  4. Step 4: Simplify right side
    30,272.08x = 478,971,437.56
  5. Step 5: Solve for x
    x = 478,971,437.56/30,272.08
  6. Step 6: Final answer
    x = 15,822.22

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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.