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Finding the Fourth Proportional to 30,655.67, 45,983.66 and 9,308.57

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Solution

The fourth proportional to 30,655.67, 45,983.66 and 9,308.57 is: 13,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.67 : 45,983.66 = 9,308.57 : x
  2. Step 2: Convert to fraction form
    30,655.67/45,983.66 = 9,308.57/x
  3. Step 3: Cross multiply
    30,655.67x = 45,983.66 × 9,308.57
  4. Step 4: Simplify right side
    30,655.67x = 428,041,841.51
  5. Step 5: Solve for x
    x = 428,041,841.51/30,655.67
  6. Step 6: Final answer
    x = 13,962.90

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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.