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Finding the Fourth Proportional to 30,465.20, 45,702.13 and 9,406.97

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Solution

The fourth proportional to 30,465.20, 45,702.13 and 9,406.97 is: 14,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.20 : 45,702.13 = 9,406.97 : x
  2. Step 2: Convert to fraction form
    30,465.20/45,702.13 = 9,406.97/x
  3. Step 3: Cross multiply
    30,465.20x = 45,702.13 × 9,406.97
  4. Step 4: Simplify right side
    30,465.20x = 429,918,565.85
  5. Step 5: Solve for x
    x = 429,918,565.85/30,465.20
  6. Step 6: Final answer
    x = 14,111.79

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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.