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Finding the Fourth Proportional to 30,431.25, 45,646.88 and 9,654.75

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Solution

The fourth proportional to 30,431.25, 45,646.88 and 9,654.75 is: 14,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.25 : 45,646.88 = 9,654.75 : x
  2. Step 2: Convert to fraction form
    30,431.25/45,646.88 = 9,654.75/x
  3. Step 3: Cross multiply
    30,431.25x = 45,646.88 × 9,654.75
  4. Step 4: Simplify right side
    30,431.25x = 440,709,166.41
  5. Step 5: Solve for x
    x = 440,709,166.41/30,431.25
  6. Step 6: Final answer
    x = 14,482.13

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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.