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Finding the Fourth Proportional to 55,683.84, 83,524.48 and 13,564.08

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Solution

The fourth proportional to 55,683.84, 83,524.48 and 13,564.08 is: 20,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,683.84 : 83,524.48 = 13,564.08 : x
  2. Step 2: Convert to fraction form
    55,683.84/83,524.48 = 13,564.08/x
  3. Step 3: Cross multiply
    55,683.84x = 83,524.48 × 13,564.08
  4. Step 4: Simplify right side
    55,683.84x = 1,132,932,728.68
  5. Step 5: Solve for x
    x = 1,132,932,728.68/55,683.84
  6. Step 6: Final answer
    x = 20,345.81

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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.