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Finding the Fourth Proportional to 55,846.86, 83,766.20 and 16,407.06

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Solution

The fourth proportional to 55,846.86, 83,766.20 and 16,407.06 is: 24,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846.86 : 83,766.20 = 16,407.06 : x
  2. Step 2: Convert to fraction form
    55,846.86/83,766.20 = 16,407.06/x
  3. Step 3: Cross multiply
    55,846.86x = 83,766.20 × 16,407.06
  4. Step 4: Simplify right side
    55,846.86x = 1,374,357,069.37
  5. Step 5: Solve for x
    x = 1,374,357,069.37/55,846.86
  6. Step 6: Final answer
    x = 24,609.39

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1.5x scale

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.