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Finding the Fourth Proportional to 43,292.32, 64,948.32 and 13,712

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Solution

The fourth proportional to 43,292.32, 64,948.32 and 13,712 is: 20,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,292.32 : 64,948.32 = 13,712 : x
  2. Step 2: Convert to fraction form
    43,292.32/64,948.32 = 13,712/x
  3. Step 3: Cross multiply
    43,292.32x = 64,948.32 × 13,712
  4. Step 4: Simplify right side
    43,292.32x = 890,571,363.84
  5. Step 5: Solve for x
    x = 890,571,363.84/43,292.32
  6. Step 6: Final answer
    x = 20,571.12

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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.