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Finding the Fourth Proportional to 32,076.57, 48,120.93 and 14,547.78

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Solution

The fourth proportional to 32,076.57, 48,120.93 and 14,547.78 is: 21,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.57 : 48,120.93 = 14,547.78 : x
  2. Step 2: Convert to fraction form
    32,076.57/48,120.93 = 14,547.78/x
  3. Step 3: Cross multiply
    32,076.57x = 48,120.93 × 14,547.78
  4. Step 4: Simplify right side
    32,076.57x = 700,052,703.04
  5. Step 5: Solve for x
    x = 700,052,703.04/32,076.57
  6. Step 6: Final answer
    x = 21,824.43

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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.