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Finding the Fourth Proportional to 30,502.80, 45,755.84 and 9,457.38

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Solution

The fourth proportional to 30,502.80, 45,755.84 and 9,457.38 is: 14,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.80 : 45,755.84 = 9,457.38 : x
  2. Step 2: Convert to fraction form
    30,502.80/45,755.84 = 9,457.38/x
  3. Step 3: Cross multiply
    30,502.80x = 45,755.84 × 9,457.38
  4. Step 4: Simplify right side
    30,502.80x = 432,730,318.81
  5. Step 5: Solve for x
    x = 432,730,318.81/30,502.80
  6. Step 6: Final answer
    x = 14,186.58

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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.