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Finding the Fourth Proportional to 30,967.20, 46,457.28 and 10,188

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Solution

The fourth proportional to 30,967.20, 46,457.28 and 10,188 is: 15,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.20 : 46,457.28 = 10,188 : x
  2. Step 2: Convert to fraction form
    30,967.20/46,457.28 = 10,188/x
  3. Step 3: Cross multiply
    30,967.20x = 46,457.28 × 10,188
  4. Step 4: Simplify right side
    30,967.20x = 473,306,768.64
  5. Step 5: Solve for x
    x = 473,306,768.64/30,967.20
  6. Step 6: Final answer
    x = 15,284.13

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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.