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Finding the Fourth Proportional to 30,442.80, 45,671.40 and 9,666.30

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Solution

The fourth proportional to 30,442.80, 45,671.40 and 9,666.30 is: 14,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.80 : 45,671.40 = 9,666.30 : x
  2. Step 2: Convert to fraction form
    30,442.80/45,671.40 = 9,666.30/x
  3. Step 3: Cross multiply
    30,442.80x = 45,671.40 × 9,666.30
  4. Step 4: Simplify right side
    30,442.80x = 441,473,453.82
  5. Step 5: Solve for x
    x = 441,473,453.82/30,442.80
  6. Step 6: Final answer
    x = 14,501.74

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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.