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Finding the Fourth Proportional to 30,457.47, 45,690.75 and 9,395.76

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Solution

The fourth proportional to 30,457.47, 45,690.75 and 9,395.76 is: 14,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.47 : 45,690.75 = 9,395.76 : x
  2. Step 2: Convert to fraction form
    30,457.47/45,690.75 = 9,395.76/x
  3. Step 3: Cross multiply
    30,457.47x = 45,690.75 × 9,395.76
  4. Step 4: Simplify right side
    30,457.47x = 429,299,321.22
  5. Step 5: Solve for x
    x = 429,299,321.22/30,457.47
  6. Step 6: Final answer
    x = 14,095.04

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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.