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Finding the Fourth Proportional to 30,966.20, 46,435.10 and 9,902.16

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Solution

The fourth proportional to 30,966.20, 46,435.10 and 9,902.16 is: 14,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.20 : 46,435.10 = 9,902.16 : x
  2. Step 2: Convert to fraction form
    30,966.20/46,435.10 = 9,902.16/x
  3. Step 3: Cross multiply
    30,966.20x = 46,435.10 × 9,902.16
  4. Step 4: Simplify right side
    30,966.20x = 459,807,789.82
  5. Step 5: Solve for x
    x = 459,807,789.82/30,966.20
  6. Step 6: Final answer
    x = 14,848.70

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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.