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Finding the Fourth Proportional to 30,697.40, 46,046.10 and 9,920.90

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Solution

The fourth proportional to 30,697.40, 46,046.10 and 9,920.90 is: 14,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.40 : 46,046.10 = 9,920.90 : x
  2. Step 2: Convert to fraction form
    30,697.40/46,046.10 = 9,920.90/x
  3. Step 3: Cross multiply
    30,697.40x = 46,046.10 × 9,920.90
  4. Step 4: Simplify right side
    30,697.40x = 456,818,753.49
  5. Step 5: Solve for x
    x = 456,818,753.49/30,697.40
  6. Step 6: Final answer
    x = 14,881.35

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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.