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Finding the Fourth Proportional to 55,652.40, 83,478.06 and 14,099.40

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Solution

The fourth proportional to 55,652.40, 83,478.06 and 14,099.40 is: 21,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652.40 : 83,478.06 = 14,099.40 : x
  2. Step 2: Convert to fraction form
    55,652.40/83,478.06 = 14,099.40/x
  3. Step 3: Cross multiply
    55,652.40x = 83,478.06 × 14,099.40
  4. Step 4: Simplify right side
    55,652.40x = 1,176,990,559.16
  5. Step 5: Solve for x
    x = 1,176,990,559.16/55,652.40
  6. Step 6: Final answer
    x = 21,148.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.