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Finding the Fourth Proportional to 30,792.48, 46,206 and 12,325.92

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Solution

The fourth proportional to 30,792.48, 46,206 and 12,325.92 is: 18,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.48 : 46,206 = 12,325.92 : x
  2. Step 2: Convert to fraction form
    30,792.48/46,206 = 12,325.92/x
  3. Step 3: Cross multiply
    30,792.48x = 46,206 × 12,325.92
  4. Step 4: Simplify right side
    30,792.48x = 569,531,459.52
  5. Step 5: Solve for x
    x = 569,531,459.52/30,792.48
  6. Step 6: Final answer
    x = 18,495.80

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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.