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Finding the Fourth Proportional to 44,336.32, 66,489.96 and 14,746

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Solution

The fourth proportional to 44,336.32, 66,489.96 and 14,746 is: 22,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,336.32 : 66,489.96 = 14,746 : x
  2. Step 2: Convert to fraction form
    44,336.32/66,489.96 = 14,746/x
  3. Step 3: Cross multiply
    44,336.32x = 66,489.96 × 14,746
  4. Step 4: Simplify right side
    44,336.32x = 980,460,950.16
  5. Step 5: Solve for x
    x = 980,460,950.16/44,336.32
  6. Step 6: Final answer
    x = 22,114.17

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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.